Which expression is not equivalent to 6^3/6^6?

1)1/6^2

2)6^-3

3)1/216

4)1/6^3

Question

03-01-2017
Mathematics

Answered

Which expression is not equivalent to 6^3/6^6?

1)1/6^2

2)6^-3

3)1/216

4)1/6^3

Verified Answer :

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remember
(x^m)/(x^n)=x^(m-n)
and
x^(-m)=1/(x^m)
so

(6^3)/(6^3)=6^(3-6)=6^-3=1/(6^3)
first one is wrong
2nd is right
3rdone is right
4th is right

first one is wrong 1/(6^2)

Answer Link

AFOKE88 AFOKE88 · Answer 2 · 2022-01-04T04:56:08-05:00

The expression that is not equivalent to 6³/(6^6) is; 1) 1/6²

The given expression is;

6³/(6^6)

Now,from laws of exponents we know that;

x⁴/x² is equal to;

x^(4 - 2) = x²

Thus;

6³/(6^6) = 6^(3 - 6)

>> 6¯³

This can also be written as;

1/6³ or 1/216

Looking at all the given options, the only one that is not correct is 1/6² which is option A.

Read more about laws of exponents at; https://brainly.com/question/18248071

Which expression is not equivalent to 6^3/6^6?1)1/6^22)6^-33)1/2164)1/6^3

Verified Answer :

Related Questions

Which expression is not equivalent to 6^3/6^6?

1)1/6^2

2)6^-3

3)1/216

4)1/6^3