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Introduction to Powers ● Powers of Whole Numbers ● A power is the repeated multiplication of a number by itself. There are two parts to a power, the base and the exponent. The base is the number being multiplied. The exponent indicates how many times to multiply the base by itself. • Example: 2³ = 2 × 2 × 2 = 8 Exponent Rules Multiplying Powers With the Same Base (m+n) am xan = a When multiplying powers with the same base, add the exponents. Example: 2³ x 2² = 2(3+2) = 25 Raising a Power to Another Exponent (am)n = a(mxn) ● When raising a power to another exponent, multiply the exponents. Example: (4²)³ = 4(2×3) — 46 b a ● ● ➤a - the base > b- the exponent Dividing Powers With the Same Base -n) When dividing powers with the same base, subtract the = a(m-₁ aman = exponents. Example: 36 3² = 3(6-2) = 34 Distributing Exponents (ab)n = an x bn an fn n = Exponents can be distributed as shown above. Example 1: Example 2: (3 x 4)² = 3² x 4² 4 4³ Other Rules to Know Zero Exponent a = 1 • Any non-zero number raised to the power of zero is equal to 1. Example: 30 = 1 Powers of 1 12 = 1 1 to the power of any number equals 1. ● Example: 1³ = 1 Negative Exponents 1 -b a - • Negative exponents indicate 1 over the positive exponent. ● Example: 4-2 = 1 4²
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Introduction to exponents, multiplying and dividing powers with the same base, and exponent rules.
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Introduction to exponents, multiplying and dividing powers with the same base, and exponent rules.
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Introduction to Powers ● Powers of Whole Numbers ● A power is the repeated multiplication of a number by itself. There are two parts to a power, the base and the exponent. The base is the number being multiplied. The exponent indicates how many times to multiply the base by itself. • Example: 2³ = 2 × 2 × 2 = 8 Exponent Rules Multiplying Powers With the Same Base (m+n) am xan = a When multiplying powers with the same base, add the exponents. Example: 2³ x 2² = 2(3+2) = 25 Raising a Power to Another Exponent (am)n = a(mxn) ● When raising a power to another exponent, multiply the exponents. Example: (4²)³ = 4(2×3) — 46 b a ● ● ➤a - the base > b- the exponent Dividing Powers With the Same Base -n) When dividing powers with the same base, subtract the = a(m-₁ aman = exponents. Example: 36 3² = 3(6-2) = 34 Distributing Exponents (ab)n = an x bn an fn n = Exponents can be distributed as shown above. Example 1: Example 2: (3 x 4)² = 3² x 4² 4 4³ Other Rules to Know Zero Exponent a = 1 • Any non-zero number raised to the power of zero is equal to 1. Example: 30 = 1 Powers of 1 12 = 1 1 to the power of any number equals 1. ● Example: 1³ = 1 Negative Exponents 1 -b a - • Negative exponents indicate 1 over the positive exponent. ● Example: 4-2 = 1 4²
Introduction to Powers ● Powers of Whole Numbers ● A power is the repeated multiplication of a number by itself. There are two parts to a power, the base and the exponent. The base is the number being multiplied. The exponent indicates how many times to multiply the base by itself. • Example: 2³ = 2 × 2 × 2 = 8 Exponent Rules Multiplying Powers With the Same Base (m+n) am xan = a When multiplying powers with the same base, add the exponents. Example: 2³ x 2² = 2(3+2) = 25 Raising a Power to Another Exponent (am)n = a(mxn) ● When raising a power to another exponent, multiply the exponents. Example: (4²)³ = 4(2×3) — 46 b a ● ● ➤a - the base > b- the exponent Dividing Powers With the Same Base -n) When dividing powers with the same base, subtract the = a(m-₁ aman = exponents. Example: 36 3² = 3(6-2) = 34 Distributing Exponents (ab)n = an x bn an fn n = Exponents can be distributed as shown above. Example 1: Example 2: (3 x 4)² = 3² x 4² 4 4³ Other Rules to Know Zero Exponent a = 1 • Any non-zero number raised to the power of zero is equal to 1. Example: 30 = 1 Powers of 1 12 = 1 1 to the power of any number equals 1. ● Example: 1³ = 1 Negative Exponents 1 -b a - • Negative exponents indicate 1 over the positive exponent. ● Example: 4-2 = 1 4²
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Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.
Still not sure? Look at what your fellow peers are saying...
iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
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SuSSan, iOS User