Question

1. Apply the Zero Power Rule to create an equivalent expression to (−40)^0 + 1/2 (11−32^0)
(-40)^0 + 1/2 (11 - 32^0) = _ + 1/2 (_ - _)
2. Use the Power Rule of Exponents to simplify the expression (x^6)^5
3. Complete the table. For each of the expressions, choose which exponent rule has been used to simplify.
Product Rule Quotient Rule Power Rule Negative Integer Exponent Rule Zero Power Rule
(16^3)^9 = 16^27
6^-12/9^-15 = 9^15/6^12
11^80/11^12 = 11^58
4. (5^−3)^6 x 5^17/10^−2 = _

Answer 1

1. Apply the Zero Power Rule to create an equivalent expression to (−40)^0 + 1/2 (11−32^0)
(-40)^0 + 1/2 (11 - 32^0) = _ + 1/2 (_ - _)

Answer 2

2. Use the Power Rule of Exponents to simplify the expression (x^6)^5

Answer 3

3. Complete the table. For each of the expressions, choose which exponent rule has been used to simplify.
Product Rule Quotient Rule Power Rule Negative Integer Exponent Rule Zero Power Rule
(16^3)^9 = 16^27
6^-12/9^-15 = 9^15/6^12
11^80/11^12 = 11^58

Answer 4

4. (5^−3)^6 x 5^17/10^−2 = _