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Popular >

simplify 5m^3n^5(25m^6n)

Solution

simplify

5 m^{3} n^{5} (25 m^{6} n)

Solution

125 m^{9} n^{6}

Solution steps

5 m^{3} n^{5} (25 m^{6} n)

Apply exponent rule:

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

m^{3} m^{6} = m^{3 + 6}

= 5 n^{5} \cdot 25 m^{3 + 6} n

Add the numbers:

3 + 6 = 9

= 5 n^{5} \cdot 25 m^{9} n

Apply exponent rule:

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

n^{5} n = n^{5 + 1}

= 5 \cdot 25 m^{9} n^{5 + 1}

Add the numbers:

5 + 1 = 6

= 5 \cdot 25 m^{9} n^{6}

Multiply the numbers:

5 \cdot 25 = 125

= 125 m^{9} n^{6}

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Frequently Asked Questions (FAQ)

What is 5m^3n^5(25m^6n) ?
The solution to 5m^3n^5(25m^6n) is 125m^9n^6