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6.10 The Exponent Laws.notebook
1
November 29, 2019
6.10 The Exponent Laws
A power is a symbol for repeated multiplication. It means:exponent
53 = 5 * 5 * 5base
We can add, subtract, multiply, and divide powers as we do numbers, by expanding the exponential form, or we can use the exponent laws, to do the work more quickly and easily.
There are 6 power laws involving integer exponents, and 1 power law involving rational exponents.
6.10 The Exponent Laws.notebook
2
November 29, 2019
6.10 The Exponent Laws.notebook
3
November 29, 2019
Key Concepts:• A power with a positive exponent means multiply the base by itself as many times as the value of the exponent: (x3) = x * x * x
• A power with a negative exponent means multiply the reciprocal of the base as many times as the value of the exponent: (x3) = 1 * 1 * 1 x x x
A power with a zero exponent always has a value of 1: (x0) = 1
• When multiplying powers that have the same base, you can add the exponents and keep the base the same: (x5)(x2) = x5 + 2
• When dividing powers that have the same base, you can subtract the exponents and keep the base the same: (x6) ÷ (x4) = x6 4
• When raising powers, you can multiply the exponents and keep the base the same: (x2)3 = x2 * 3
Homework: BLM 64 #s 1, 4 6 & 9 10