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Popular >

simplify (10t)(10t^4)

Solution

simplify

(10 t) (10 t^{4})

Solution

100 t^{5}

Solution steps

(10 t) (10 t^{4})

Apply exponent rule:

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

10 \cdot 10 = 1 0^{1 + 1}

= t \cdot 1 0^{1 + 1} t^{4}

Add the numbers:

1 + 1 = 2

= t \cdot 1 0^{2} t^{4}

Apply exponent rule:

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

t t^{4} = t^{1 + 4}

= 1 0^{2} t^{1 + 4}

Add the numbers:

1 + 4 = 5

= 1 0^{2} t^{5}

1 0^{2} = 100

= 100 t^{5}

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Frequently Asked Questions (FAQ)

What is (10t)(10t^4) ?
The solution to (10t)(10t^4) is 100t^5