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Popular >

simplify (abc)(d)(ae)^2(de^3)

Solution

simplify

(ab c) (d) (a e)^{2} (d e^{3})

Solution

e^{5} a^{3} b c d^{2}

Solution steps

(ab c) (d) (a e)^{2} (d e^{3})

Apply exponent rule:

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

dd = d^{1 + 1}

= ab c (a e)^{2} d^{1 + 1} e^{3}

Add the numbers:

1 + 1 = 2

= ab c (a e)^{2} d^{2} e^{3}

Apply exponent rule:

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

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

= ab c a^{2} e^{2} d^{2} e^{3}

Apply exponent rule:

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

e^{2} e^{3} = e^{2 + 3}

= ab c a^{2} d^{2} e^{2 + 3}

Add the numbers:

2 + 3 = 5

= ab c a^{2} d^{2} e^{5}

Apply exponent rule:

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

a a^{2} = a^{1 + 2}

= b c a^{1 + 2} d^{2} e^{5}

Add the numbers:

1 + 2 = 3

= b c a^{3} d^{2} e^{5}

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Frequently Asked Questions (FAQ)

What is (abc)(d)(ae)^2(de^3) ?
The solution to (abc)(d)(ae)^2(de^3) is e^5a^3bcd^2