Question

Why is 3^7 equal to 7 1/3

Answer 1

The required answer is $(7^{\frac{1}{3}})^{3} = (7^{\frac{1}{3}*3}) = 7^1=7$.

what is a power rule for exponents ?

$(a^m)^n=a^{mn}$ is known as the power rule for exponents. Exponent times power is how you raise a number with an exponent to a power.

A number's exponent demonstrates how many times we are multiplying a given number by itself. 3^4, for instance, indicates that we are multiplying 3 by four. 3*3*3*3 is its expanded form. The power of a number is another name for an exponent. It could be an integer, a fraction, a negative integer, or a decimal.

$(7^{\frac{1}{3}})^{3} = (7^{\frac{1}{3}*3}) = 7^1=7$

Here, we have used the rule $(a^m)^n=a^{mn}$

To learn more about the power rule for exponents from the given link

brainly.com/question/819893

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