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Sveta_85 [38]
1 year ago
14

Which expression is equivalent to 4^-5 • 3^-5 ?

Mathematics
1 answer:
valkas [14]1 year ago
7 0

The expression equivalent to 4^-5 • 3^-5  is 12^-5

<h3>What are equivalent expressions?</h3>

Equivalent expressions are simply known as expressions with the same solution but different arrangement.

Given the index expressions;

4^-5 • 3^-5

Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.

This can be written as;

4(3) ^ -5

expand the bracket

12^-5

Thus, the expression equivalent to 4^-5 • 3^-5  is 12^-5

Learn more about equivalent expressions here:

brainly.com/question/24734894

#SPJ1

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3 years ago
PLEASE HELP ASAP <br>are f(x)=4/x-2-1 and g(x)=3/x+2-2 inverses of each other?​
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Answer:

To find the inverse of:

f (x)=\dfrac{4}{x-2}-1

Set the function to y:

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Rearrange to make x the subject:

\implies y+1=\dfrac{4}{x-2}

\implies (y+1)(x-2)=4

\implies xy-2y+x-2=4

\implies xy+x=2y+6

\implies x(y+1)=2y+6

\implies x=\dfrac{2y+6}{y+1}

Swap x and y:

\implies y=\dfrac{2x+6}{x+1}

Change y to the inverse of the function sign:

\implies f\:^{-1}(x)=\dfrac{2x+6}{x+1}

Rewrite g(x) as a fraction:

g(x)=\dfrac{3}{x+2}-2

\implies g(x)=\dfrac{3}{x+2}-\dfrac{2(x+2)}{x+2}

\implies g(x)=\dfrac{3-2(x+2)}{x+2}

\implies g(x)=\dfrac{3-2x-4}{x+2}

\implies g(x)=-\dfrac{2x+1}{x+2}

Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other

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