What is (8m^3n^2o)(2mn^3o^4) ?

The solution to (8m^3n^2o)(2mn^3o^4) is 16m^4n^5o^5

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simplify (8m^3n^2o)(2mn^3o^4)

simplify

(8 m^{3} n^{2} o) (2 m n^{3} o^{4})

16 m^{4} n^{5} o^{5}

Solution steps

(8 m^{3} n^{2} o) (2 m n^{3} o^{4})

Apply exponent rule:

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

m^{3} m = m^{3 + 1}

= 8 n^{2} o \cdot 2 m^{3 + 1} n^{3} o^{4}

Add the numbers:

3 + 1 = 4

= 8 n^{2} o \cdot 2 m^{4} n^{3} o^{4}

Apply exponent rule:

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

n^{2} n^{3} = n^{2 + 3}

= 8 o \cdot 2 m^{4} n^{2 + 3} o^{4}

Add the numbers:

2 + 3 = 5

= 8 o \cdot 2 m^{4} n^{5} o^{4}

Apply exponent rule:

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

o o^{4} = o^{1 + 4}

= 8 \cdot 2 m^{4} n^{5} o^{1 + 4}

Add the numbers:

1 + 4 = 5

= 8 \cdot 2 m^{4} n^{5} o^{5}

Multiply the numbers:

8 \cdot 2 = 16

= 16 m^{4} n^{5} o^{5}

1 + \frac{1}{7} x = 2 + \frac{1}{7} (x - 2)

3 x^{2} + x - 4

(23)^{2}

3 x^{3} + 5 x^{2} + 9 x + 15

2 (2^{k} - 1) + 2^{k + 1}

What is (8m^3n^2o)(2mn^3o^4) ?
The solution to (8m^3n^2o)(2mn^3o^4) is 16m^4n^5o^5