Question

I have asked so many times and no one will answer. :(

1. Simplify each expression using the laws of exponents. Use the least number of bases possible and only positive exponents. When appropriate, express answers without parentheses or as equal to 1. All letters denote numbers. (1/2)⁷

2. Simplify each expression using the laws of exponents. Use the least number of bases possible and only positive exponents. When appropriate, express answers without parentheses or as equal to 1. All letters denote numbers. (1/11)⁻⁷

Answer 1

1)
`(1)/(2^7)` ; 2)
`11^7`

Explanation:

1) Using the Power of a Fraction Rule
`((a)/(b) )^x = ((a^x)/(b^x) )`,

`((1)/(2) )^7 = ((1^7)/(2^7) )`, which can just be simplified to
`(1)/(2^7)`.

2) Using the Negative Exponent Rule,
`a^(-x) = (1)/(a^(x))`,

`((1)/(11) )^(-7) = (1)/((1)/(11^7))`, which can be simplified to
`11^7`.