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Simplify the expression. Write your answer as a power.$\left(-4\right)^5\cdot\left(-4\right)^7$(−4)5·(−4)7​

Question

Simplify the expression. Write your answer as a power.(4)5(4)7\left(-4\right)^5\cdot\left(-4\right)^7(−4)5·(−4)7​

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Solution

To simplify the expression (4)5(4)7\left(-4\right)^5\cdot\left(-4\right)^7, you need to use the rule of exponents which states that when you multiply two exponents with the same base, you add the powers.

So, (4)5(4)7\left(-4\right)^5\cdot\left(-4\right)^7 becomes (4)5+7\left(-4\right)^{5+7}.

Therefore, the simplified expression is (4)12\left(-4\right)^{12}.

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