What is (1/11 x^2y^3)(y^3s^4)(33x^3s^4) ?

The solution to (1/11 x^2y^3)(y^3s^4)(33x^3s^4) is 3x^5y^6s^8

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simplify (1/11 x^2y^3)(y^3s^4)(33x^3s^4)

simplify

(\frac{1}{11} x^{2} y^{3}) (y^{3} s^{4}) (33 x^{3} s^{4})

3 x^{5} y^{6} s^{8}

Solution steps

(\frac{1}{11} x^{2} y^{3}) (y^{3} s^{4}) (33 x^{3} s^{4})

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

= \frac{1}{11} y^{3} y^{3} s^{4} \cdot 33 x^{2 + 3} s^{4}

Add the numbers:

2 + 3 = 5

= \frac{1}{11} y^{3} y^{3} s^{4} \cdot 33 x^{5} s^{4}

Apply exponent rule:

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

y^{3} y^{3} = y^{3 + 3}

= \frac{1}{11} y^{3 + 3} s^{4} \cdot 33 x^{5} s^{4}

Add the numbers:

3 + 3 = 6

= \frac{1}{11} y^{6} s^{4} \cdot 33 x^{5} s^{4}

Apply exponent rule:

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

s^{4} s^{4} = s^{4 + 4}

= \frac{1}{11} y^{6} \cdot 33 x^{5} s^{4 + 4}

Add the numbers:

4 + 4 = 8

= \frac{1}{11} y^{6} \cdot 33 x^{5} s^{8}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot y ^{6} \cdot 33 x ^{5} s ^{8}}{11}

Multiply the numbers:

1 \cdot 33 = 33

= \frac{33 x ^{5} y ^{6} s ^{8}}{11}

Divide the numbers:

\frac{33}{11} = 3

= 3 x^{5} y^{6} s^{8}

3.2 \cdot 1 0^{- 6}

0.5 \cdot 4^{- 0.5}

e^{- 4 t} [sin (2 t) - cos (2 t)]^{2}

e^{x} (e^{3 x})

What is (1/11 x^2y^3)(y^3s^4)(33x^3s^4) ?
The solution to (1/11 x^2y^3)(y^3s^4)(33x^3s^4) is 3x^5y^6s^8