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miss Akunina [59]
3 years ago
10

What is the answer to this question on he picture

Mathematics
1 answer:
Nataly [62]3 years ago
4 0

Number 3 is . 1 because you turn 1/10 into a decimal. Number 5 is 61 because you add 45+ 16.



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How can (4x⁵/2x²)³ be solved in 2 different ways
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We assume that we need to simplify the expression in two different ways.

Answer:

One way: Raise both, the numerator and denominator, to the third power, and then simplify the expression.

Second way: Simplify the terms inside parentheses, and then raise the result to the third power.

The result of both ways is the same: \\8x^{9}

Step-by-step explanation:

<em>One way</em>

Raise both, the numerator and denominator, to the third power, and then simplify the expression:

\\ (\frac{4x^{5}}{2x^{2}})^{3}

\\ (\frac{64x^{5*3}}{8x^{2*3}})

\\ (\frac{64x^{15}}{8x^{6}})

\\ \frac{64}{8}\frac{x^{15}}{x^{6}}

\\8x^{9}

This is the first simplification.

<em>Second way</em>

Simplify the terms inside parentheses, and then raise the result to the third power.

\\ (\frac{4x^{5}}{2x^{2}})^{3}

\\ (\frac{4}{2}*\frac{x^{5}}{x^{2}})^{3}

\\ (2*x^{5-2})^{3}

\\ (2*x^{3})^{3}

\\ (2^{3}*x^{3*3})

\\ (8*x^{9})

or \\ 8x^{9}.

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3/10

Step-by-step explanation:

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