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 Simplify the following problem
00:03 According to the laws of exponents, a fraction raised to the power (N)
00:07 equals the numerator and denominator raised to the same power (N)
00:10 We will apply this formula to our exercise
00:18 According to the laws of exponents when a product is raised to the power (N)
00:22 it is equal to each factor in the product separately raised to the same power (N)
00:26 We will apply this formula to our exercise
00:32 This is the solution

Answer

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

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Related Subjects

Power of a Quotient

Question Types

Powers of a Fraction: Calculating powers with negative exponents Powers of a Fraction: System of equations with no solution