3 years ago

Given that DA is a diameter of circle B, angle CBA is a right angle, and mAF=65 degrees, find mDE

Mathematics

1 answer:

yulyashka [42]3 years ago

4 0

A. 29
b. 36
c. 49
d. 61

...
the answer's a. 29.

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Which expression is equivalent to

Scilla [17]

The equivalent expression of $\frac{(5ab)^3}{30ab^{-7}}$ is $\frac{25a^{2}b^{10}}{6}$

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

$\frac{(5ab)^3}{30ab^{-7}}$

Expand the numerator

$\frac{(5ab)^3}{30ab^{-7}} =\frac{125a^3b^3}{30ab^{-7}}$

Divide 125 and 30 by 5

$\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^3b^3}{6ab^{-7}}$

Apply the law of indices

$\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{3-1}b^{3+7}}{6}$

Evaluate the exponent

$\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{2}b^{10}}{6}$

Hence, the equivalent expression of $\frac{(5ab)^3}{30ab^{-7}}$ is $\frac{25a^{2}b^{10}}{6}$

Read more about equivalent expression at:

brainly.com/question/2972832

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