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Popular >

simplify (ax^3)(a^4x^5)

Solution

simplify

(a x^{3}) (a^{4} x^{5})

Solution

a^{5} x^{8}

Solution steps

(a x^{3}) (a^{4} x^{5})

Apply exponent rule:

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

a a^{4} = a^{1 + 4}

= x^{3} a^{1 + 4} x^{5}

Add the numbers:

1 + 4 = 5

= x^{3} a^{5} x^{5}

Apply exponent rule:

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

x^{3} x^{5} = x^{3 + 5}

= a^{5} x^{3 + 5}

Add the numbers:

3 + 5 = 8

= a^{5} x^{8}

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Frequently Asked Questions (FAQ)

What is (ax^3)(a^4x^5) ?
The solution to (ax^3)(a^4x^5) is a^5x^8