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Popular >

simplify 1.5m^7(-4m^5)^2

Solution

simplify

1.5 m^{7} (- 4 m^{5})^{2}

Solution

24 m^{17}

Solution steps

1.5 m^{7} (- 4 m^{5})^{2}

Simplify

(- 4 m^{5})^{2} : 16 m^{10}

= 1.5 m^{7} \cdot 16 m^{10}

Multiply the numbers:

1.5 \cdot 16 = 24

= 24 m^{7} m^{10}

Apply exponent rule:

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

m^{7} m^{10} = m^{7 + 10}

= 24 m^{7 + 10}

Add the numbers:

7 + 10 = 17

= 24 m^{17}

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Frequently Asked Questions (FAQ)

What is 1.5m^7(-4m^5)^2 ?
The solution to 1.5m^7(-4m^5)^2 is 24m^{17}