What is (2s^8t^7uv^2)(5s^8t^6u^3v) ?

The solution to (2s^8t^7uv^2)(5s^8t^6u^3v) is 10s^{16}t^{13}u^4v^3

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simplify (2s^8t^7uv^2)(5s^8t^6u^3v)

simplify

(2 s^{8} t^{7} u v^{2}) (5 s^{8} t^{6} u^{3} v)

10 s^{16} t^{13} u^{4} v^{3}

Solution steps

(2 s^{8} t^{7} u v^{2}) (5 s^{8} t^{6} u^{3} v)

Apply exponent rule:

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

s^{8} s^{8} = s^{8 + 8}

= 2 t^{7} u v^{2} \cdot 5 s^{8 + 8} t^{6} u^{3} v

Add the numbers:

8 + 8 = 16

= 2 t^{7} u v^{2} \cdot 5 s^{16} t^{6} u^{3} v

Apply exponent rule:

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

t^{7} t^{6} = t^{7 + 6}

= 2 u v^{2} \cdot 5 s^{16} t^{7 + 6} u^{3} v

Add the numbers:

7 + 6 = 13

= 2 u v^{2} \cdot 5 s^{16} t^{13} u^{3} v

Apply exponent rule:

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

u u^{3} = u^{1 + 3}

= 2 v^{2} \cdot 5 s^{16} t^{13} u^{1 + 3} v

Add the numbers:

1 + 3 = 4

= 2 v^{2} \cdot 5 s^{16} t^{13} u^{4} v

Apply exponent rule:

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

v^{2} v = v^{2 + 1}

= 2 \cdot 5 s^{16} t^{13} u^{4} v^{2 + 1}

Add the numbers:

2 + 1 = 3

= 2 \cdot 5 s^{16} t^{13} u^{4} v^{3}

Multiply the numbers:

2 \cdot 5 = 10

= 10 s^{16} t^{13} u^{4} v^{3}

(1.6 \cdot 1 0^{- 19}) \cdot 3.27

4.18 e^{- \frac{0.5}{1.987 \cdot 1 0 ^{- 3}}}

3 + 1 \cdot 3 - 1

2 π^{12} \cdot 2

\frac{0.25}{π} (2 e^{- (0.25)^{2}})

What is (2s^8t^7uv^2)(5s^8t^6u^3v) ?
The solution to (2s^8t^7uv^2)(5s^8t^6u^3v) is 10s^{16}t^{13}u^4v^3