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bixtya [17]
3 years ago
10

M2/n2 is equivalent to _____.

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

Answer:

\frac{m^2}{n^2} is equivalent to m^2 \cdot n^{-2}

Step-by-step explanation:

Using exponent rules:

a^{-n}=\frac{1}{a^n}

Given the expression:

\frac{m^2}{n^2}

⇒\frac{m^2}{n^2} = m^2 \cdot \frac{1}{n^2}

Apply the exponent rule, we have;

m^2 \cdot n^{-2}

Therefore, the given expression \frac{m^2}{n^2} is equivalent to m^2 \cdot n^{-2}

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Combine multiplied terms into a single fraction

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+

−

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2

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2

2

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6

2

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−

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−

2

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Subtract the numbers

−

1

2

=

4

5

Multiply all terms by the same value to eliminate fraction denominators

−

1

2

=

4

⋅

−

1

2

=

⋅

4

6

Simplify

Cancel multiplied terms that are in the denominator

Re-order terms so constants are on the left

−

1

2

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⋅

4

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−

1

2

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4

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1

2

=

4

7

Divide both sides of the equation by the same term

−

1

2

=

4

−

1

2

4

=

4

4

8

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=

−

3

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=

−

3

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