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Popular >

simplify 5t^2(5t^6)

Solution

simplify

5 t^{2} (5 t^{6})

Solution

25 t^{8}

Solution steps

5 t^{2} (5 t^{6})

Apply exponent rule:

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

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

= t^{2} \cdot 5^{1 + 1} t^{6}

Add the numbers:

1 + 1 = 2

= t^{2} \cdot 5^{2} t^{6}

Apply exponent rule:

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

t^{2} t^{6} = t^{2 + 6}

= 5^{2} t^{2 + 6}

Add the numbers:

2 + 6 = 8

= 5^{2} t^{8}

5^{2} = 25

= 25 t^{8}

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Frequently Asked Questions (FAQ)

What is 5t^2(5t^6) ?
The solution to 5t^2(5t^6) is 25t^8