What is (4rst)(9r^3s^2t^4) ?

The solution to (4rst)(9r^3s^2t^4) is 36r^4s^3t^5

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simplify (4rst)(9r^3s^2t^4)

simplify

(4 rs t) (9 r^{3} s^{2} t^{4})

36 r^{4} s^{3} t^{5}

Solution steps

(4 rs t) (9 r^{3} s^{2} t^{4})

Apply exponent rule:

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

r r^{3} = r^{1 + 3}

= 4 s t \cdot 9 r^{1 + 3} s^{2} t^{4}

Add the numbers:

1 + 3 = 4

= 4 s t \cdot 9 r^{4} s^{2} t^{4}

Apply exponent rule:

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

s s^{2} = s^{1 + 2}

= 4 t \cdot 9 r^{4} s^{1 + 2} t^{4}

Add the numbers:

1 + 2 = 3

= 4 t \cdot 9 r^{4} s^{3} t^{4}

Apply exponent rule:

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

t t^{4} = t^{1 + 4}

= 4 \cdot 9 r^{4} s^{3} t^{1 + 4}

Add the numbers:

1 + 4 = 5

= 4 \cdot 9 r^{4} s^{3} t^{5}

Multiply the numbers:

4 \cdot 9 = 36

= 36 r^{4} s^{3} t^{5}

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