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Popular >

simplify (5t^3)(5t^2)

Solution

simplify

(5 t^{3}) (5 t^{2})

Solution

25 t^{5}

Solution steps

(5 t^{3}) (5 t^{2})

Apply exponent rule:

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

5 \cdot 5 = 5^{1 + 1}

= t^{3} \cdot 5^{1 + 1} t^{2}

Add the numbers:

1 + 1 = 2

= t^{3} \cdot 5^{2} t^{2}

Apply exponent rule:

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

t^{3} t^{2} = t^{3 + 2}

= 5^{2} t^{3 + 2}

Add the numbers:

3 + 2 = 5

= 5^{2} t^{5}

5^{2} = 25

= 25 t^{5}

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Frequently Asked Questions (FAQ)

What is (5t^3)(5t^2) ?
The solution to (5t^3)(5t^2) is 25t^5