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Elis [28]
3 years ago
7

What’s 10 t0 the greatest power

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is the number 10 multiplied by itself by the number of times indicated by the exponent. Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000. When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01. When n is equal to 0, the power of 10 is 1; that is, 100 = 1. (Answer)The table lists the powers of 10 from 1 to 100,000,000,000,000. Hope this helps

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Simplify 4 to the 7th over 5 squared all raised to the 3rd power
alisha [4.7K]
<h2>Answer:</h2>

\left(\frac{4^{21}}{5^6}\right)

or

4 to the 21st over 5 to the 6th.

<h2>Step-by-step explanation:</h2>

First, we need to write our expression. Let's do it step by step:

<u>4 to the 7th:</u>

4^7

<u>5 squared:</u>

5^2

<u>4 to the 7th over 5 squared:</u>

\frac{4^7}{5^2}

<u>4 to the 7th over 5 squared all raised to the 3rd power:</u>

<u>\left(\frac{4^7}{5^2}\right)^3</u>

Using the law of exponents:

\left(\frac{4^{7\times 3}}{5^{2\times 3}}\right) \\ \\ \left(\frac{4^{21}}{5^6}\right)

Finally, the answer is 4 to the 21st over 5 to the 6th.

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Answer:

11/123

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Step-by-step explanation:

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