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2 years ago

14

A teacher's age is 6years greater then 2 times a students age.a principals age is 10 years greater than 3 times the students age

. If x represents the student's age in years ,which Expression represents how many years older the principal is that the teacher

1 answer:

snow_tiger [21]2 years ago

6 0

Answer: 4x + 5

Step-by-step explanation:

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Which expression is equivalent to

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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 $\frac{25a^{2}b^{10}}{6}$

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Step-by-step explanation:

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