Question

Need help with all please

Answer 1

Explanation:

1 )

a) quotient of powers as dividing two powers with the same base, we subtract the exponents.

b) product of powers when you are multiplying two terms with the same base, you add their exponents

c) property of negative exponents. According to the rules of exponents, a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.

2)

Yes, when raising a fraction to a power with parentheses, the same principles apply as when raising a fraction to a power without parentheses. When evaluating expressions with fractions and exponents, the order of operations, including parentheses, is followed. To re-write the expressions (1/3)^2 is = (1/9) and (1/3)^-2 is equal to 9 9*(1/9) is 1 which is the rule of the product of powers. then the same applies to the second expression

3)

`(-2.3^(2))^(6)` power to a power rule

`((1)/(4)) ^(3)` power of a quotient

`6^(4)` power to a power rule

`7^(-1)` product of powers

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