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RideAnS [48]
3 years ago
11

Which expression is equivalent to the given expression?​

Mathematics
2 answers:
mezya [45]3 years ago
7 0

<u>Choice C. </u><u>is equivalent.</u>

Let's first simplify, starting with the denominator.

a to the power of 0 is 1. —> any value to the power of 0 is 1.

That leaves us with <u>(</u>1b^2)^4. Now we can distribute the exponent. But before that, let's get rid of the coefficient 1, which isn't necessary.

Now we are left with (b^2)^4.

Let's use the power of the power rule, which means that we multiply the exponent by the exponent. The denominator is now b^8.

Looking at the numerator, there is a b, which has a hidden exponent of one. —> We can get rid of it by taking away its exponent of 1 with the b^8 from the denomiator.

. . . b^1 goes away, and b^8 becomes b^7.

<u>We cannot simplify any further,</u> therefore the final expression is. . .

<h2>6a/b^7.</h2>

Masja [62]3 years ago
3 0

Step-by-step explanation:

( \frac{6ab}{(a {}^{0} {b}^{2} ) {}^{4}  } ) \\  \\  =(  \frac{6ab}{1 \times  {b}^{8} } ) \\  \\  =  \frac{6a}{ {b}^{7} }

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