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Popular >

simplify (10def)(5d^2e^4)

Solution

simplify

(10 d e f) (5 d^{2} e^{4})

Solution

50 e^{5} d^{3} f

Solution steps

(10 d e f) (5 d^{2} e^{4})

Apply exponent rule:

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

e e^{4} = e^{1 + 4}

= 10 df \cdot 5 d^{2} e^{1 + 4}

Add the numbers:

1 + 4 = 5

= 10 df \cdot 5 d^{2} e^{5}

Apply exponent rule:

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

d d^{2} = d^{1 + 2}

= 10 f \cdot 5 d^{1 + 2} e^{5}

Add the numbers:

1 + 2 = 3

= 10 f \cdot 5 d^{3} e^{5}

Multiply the numbers:

10 \cdot 5 = 50

= 50 e^{5} d^{3} f

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Frequently Asked Questions (FAQ)

What is (10def)(5d^2e^4) ?
The solution to (10def)(5d^2e^4) is 50e^5d^3f