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Popular >

simplify (4d^0e^5f^{-2})4

Solution

simplify

(4 d^{0} e^{5} f^{- 2}) 4

Solution

\frac{16 e ^{5}}{f ^{2}}

Solution steps

(4 d^{0} e^{5} f^{- 2}) \cdot 4

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

4 \cdot 4 = 4^{1 + 1}

= d^{0} e^{5} f^{- 2} \cdot 4^{1 + 1}

Add the numbers:

1 + 1 = 2

= d^{0} e^{5} f^{- 2} \cdot 4^{2}

Apply rule

a^{0} = 1, a \neq = 0

d^{0} = 1

= 4^{2} \cdot 1 \cdot e^{5} f^{- 2}

Apply exponent rule:

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

f^{- 2} = \frac{1}{f ^{2}}

= 4^{2} \cdot 1 \cdot e^{5} \frac{1}{f ^{2}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= 1 \cdot \frac{4 ^{2} \cdot 1 \cdot e ^{5}}{f ^{2}}

Simplify

\frac{1 \cdot e ^{5} \cdot 4 ^{2}}{f ^{2}} : \frac{16 e ^{5}}{f ^{2}}

= 1 \cdot \frac{16 e ^{5}}{f ^{2}}

Multiply:

1 \cdot \frac{16 e ^{5}}{f ^{2}} = \frac{16 e ^{5}}{f ^{2}}

= \frac{16 e ^{5}}{f ^{2}}

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Frequently Asked Questions (FAQ)

What is (4d^0e^5f^{-2})4 ?
The solution to (4d^0e^5f^{-2})4 is (16e^5)/(f^2)