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docker41 [41]
3 years ago
13

Simplify 4 to the 7th over 5 squared all raised to the 3rd power.

Mathematics
1 answer:
Radda [10]3 years ago
6 0
First write out your original equation.
{(\frac{ {4}^{7} }{ {5}^{2} } ) }^{3}
Then use the law of exponents(power of a power) to simplify.
\frac{ {4}^{21} }{ {5}^{6} }
(Multiply the numerator and denominator exponents by the outside power.)

The answer is 4 to the 21st over 5 to the 6th.
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Your answer is (-1, 5).

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Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist
mezya [45]

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12 cm = 21.62 miles

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Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of \frac{map}{real world} and simplify.

We know \frac{map}{real world}=\frac{0.5in}{2.3 miles}. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write \frac{4.7in}{xmiles} and  \frac{2.4in}{xmiles}

We set them equal.

\frac{0.5}{2.3}=\frac{4.7}{x}

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To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

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2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x

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