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soldier1979 [14.2K]
2 years ago
8

4^-2 x 7^-2 equivalent expression

Mathematics
1 answer:
Savatey [412]2 years ago
8 0

Answer:

Not sure exactly which equivalent expression you are looking for but my goal would be to write it without the negative exponent.

\frac{1}{28^2}

Step-by-step explanation:

They have the same exponent and it is multiplication.

There is a law of exponent that says (a \cdot b)^x=a^x \cdot b^x .

So we have 4^{-2} \cdot 7^{-2} equals (4 \cdot 7)^{-2}.

Let's simplify (4*7)^(-2).

Since 4*7=28, we can say (4*7)^{-2}=(28)^{-2}.

Some people really hate that negative exponent. All that - in the exponent means is reciprocal. So 28^{-2}=\frac{1}{28^2}.

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