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Popular >

simplify (3e^2)(-2e^0)^2

Solution

simplify

(3 e^{2}) (- 2 e^{0})^{2}

Solution

12 e^{2}

+1

Decimal Notation

88.66867 \dots

Solution steps

(3 e^{2}) (- 2 e^{0})^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

e^{2} (- 2 e^{0})^{2} = (e (- 2 e^{0}))^{2}

= 3 (e (- 2 e^{0}))^{2}

e (- 2 e^{0}) = - 2 e

= 3 (- 2 e)^{2}

(- 2 e)^{2} = 2^{2} e^{2}

= 2^{2} \cdot 3 e^{2}

2^{2} = 4

= 3 \cdot 4 e^{2}

Multiply the numbers:

3 \cdot 4 = 12

= 12 e^{2}

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Frequently Asked Questions (FAQ)

What is (3e^2)(-2e^0)^2 ?
The solution to (3e^2)(-2e^0)^2 is 12e^2