Solve (3×6)/5 Raised to the Negative Fourth Power: Complete Solution

Question

Insert the corresponding expression:

(3×65)−4= \left(\frac{3\times6}{5}\right)^{-4}=

Video Solution

Solution Steps

00:00 Simply
00:03 According to laws of exponents, any fraction with power (N)
00:07 equals the numerator and denominator with the same power (N)
00:10 We will use this formula in our exercise
00:18 According to laws of exponents when the entire product is to the power (N)
00:22 equals each factor in the product separately raised to the same power (N)
00:26 We will use this formula in our exercise
00:32 And this is the solution to the question

Answer

3−4×6−45−4 \frac{3^{-4}\times6^{-4}}{5^{-4}}

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Power of a Quotient

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