What is (8t^8u^5)(9t^3u^3) ?

The solution to (8t^8u^5)(9t^3u^3) is 72t^{11}u^8

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simplify (8t^8u^5)(9t^3u^3)

simplify

(8 t^{8} u^{5}) (9 t^{3} u^{3})

72 t^{11} u^{8}

Solution steps

(8 t^{8} u^{5}) (9 t^{3} u^{3})

Apply exponent rule:

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

t^{8} t^{3} = t^{8 + 3}

= 8 u^{5} \cdot 9 t^{8 + 3} u^{3}

Add the numbers:

8 + 3 = 11

= 8 u^{5} \cdot 9 t^{11} u^{3}

Apply exponent rule:

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

u^{5} u^{3} = u^{5 + 3}

= 8 \cdot 9 t^{11} u^{5 + 3}

Add the numbers:

5 + 3 = 8

= 8 \cdot 9 t^{11} u^{8}

Multiply the numbers:

8 \cdot 9 = 72

= 72 t^{11} u^{8}

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