Solve (4/63)^(-3): Negative Exponent with Complex Fraction

Insert the corresponding expression:

(49×7)−3= \left(\frac{4}{9\times7}\right)^{-3}=

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Step-by-step video solution

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00:08 Let's simplify this problem together.
00:11 Remember: when a fraction is raised to power N, both the top and bottom numbers get that power N.
00:19 We'll use this rule in our exercise. Ready?
00:23 Now, if a product is raised to power N, give each part of the product the power N.
00:29 This means each factor is separately raised to power N.
00:33 Let's apply this to our problem. You're doing great!
00:37 And that's how we solve it.

Step-by-step written solution

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1

Understand the problem

Insert the corresponding expression:

(49×7)−3= \left(\frac{4}{9\times7}\right)^{-3}=

3

Final Answer

4−39−3×7−3 \frac{4^{-3}}{9^{-3}\times7^{-3}}

Practice Quiz

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\( 112^0=\text{?} \)

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