3 years ago

PLEASE HELP! MARKING BRAINLIEST!

Mathematics

1 answer:

NISA [10]3 years ago

7 0

Answer:

In the first one, the decimal moves twice. In the second, once, none in the third, andin the fourth, four times.

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Explain how knowing 50 x 4 = 200 helps you find 500 X 400?

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3 years ago

What is the value of (9^7) ^3/14, in simplest terms? a0

s2008m [1.1K]

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27.

Step-by-step explanation:

It is one property of exponents that for any numbers a, b, and c

$(a^b)^c=a^{bc}$

Therefore, using this property the expression $(9^7) ^{3/14}$ becomes

$(9^7) ^{3/14} =9^{(7*\frac{3}{14} )}$ .

and when when simplify the exponents, we get:

$9^{(\frac{21}{14} )}= 9^{\frac{3}{2} }= (9^{\frac{1}{2} })^3$ .

Since for any number $a^\frac{1}{2} =\sqrt{a}$ ( $\dfrac{1}{2}$ in the exponent means the square root) , $(9^{\frac{1}{2} })^3$ is rewritten as

$(\sqrt9} )^3$

which simplifies to

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Thus,

$\boxed{ (9^7) ^{3/14}=27}$

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