Express each of the following in the form
a)
b)

Explanation:​

Answers:

Each answer has 7 as the base and a fraction as an exponent.

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Explanation:

One useful rule here is that . The fraction m/n is the exponent for the base x. Note how the index of the root (n) becomes the denominator of the fraction m/n. So for example if we had n = 3, then we'd be dealing with a cube root.

For part a), we have x = 7, m = 1 and n = 5 to get

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Part b) is the same idea

We would find that

Then apply the reciprocal to both sides. This is the same as raising both sides to the exponent -1

You could also use the rule that x^(-y) = 1/(x^y) when dealing with negative exponents.

In the second to last step shown above, I used the rule (x^y)^z = x^(y*z) on the right hand side.

a.30 and 50 - 10

b. 4 and 20 - 4

c. 60 and 400 - 1200