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Simplify the expression. Write your answer as a power.$\left(\left(-\frac{3}{4}\right)^5\right)^2$((−34​)5)2​The simplified expression is .

Question

Simplify the expression. Write your answer as a power.

\left(\left(-\frac{3}{4}\right)^5\right)^2
The simplified expression is .

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Solution

To simplify the expression ((34)5)2\left(\left(-\frac{3}{4}\right)^5\right)^2, you need to follow these steps:

  1. First, you need to understand the rule of exponents which states that (am)n=amn(a^m)^n = a^{m*n}.

  2. Apply this rule to the given expression. This gives you (34)52\left(-\frac{3}{4}\right)^{5*2}.

  3. Simplify the exponent 5*2 to get 10. So, the expression becomes (34)10\left(-\frac{3}{4}\right)^{10}.

  4. Since any number raised to an even power is positive, the expression simplifies to (34)10\left(\frac{3}{4}\right)^{10}.

So, the simplified expression is (34)10\left(\frac{3}{4}\right)^{10}.

This problem has been solved

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