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Popular >

simplify (7/4 m^{-2})^2

Solution

simplify

(\frac{7}{4} m^{- 2})^{2}

Solution

\frac{49}{16 m ^{4}}

Solution steps

(\frac{7}{4} m^{- 2})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(\frac{7}{4} m^{- 2})^{2} = (\frac{7}{4})^{2} (m^{- 2})^{2}

= (\frac{7}{4})^{2} (m^{- 2})^{2}

(\frac{7}{4})^{2} = \frac{49}{16}

= \frac{49}{16} (m^{- 2})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(m^{- 2})^{2} = m^{- 2 \cdot 2}

= \frac{49}{16} m^{- 2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{49}{16} m^{- 4}

Apply exponent rule:

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

m^{- 4} = \frac{1}{m ^{4}}

= \frac{49}{16} \cdot \frac{1}{m ^{4}}

Simplify

\frac{49}{16} \cdot \frac{1}{m ^{4}} : \frac{49}{16 m ^{4}}

= \frac{49}{16 m ^{4}}

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Frequently Asked Questions (FAQ)

What is (7/4 m^{-2})^2 ?
The solution to (7/4 m^{-2})^2 is (49)/(16m^4)