What is (5a^2bc^3)*(1/5 abc^4) ?

The solution to (5a^2bc^3)*(1/5 abc^4) is a^3b^2c^7

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simplify (5a^2bc^3)*(1/5 abc^4)

simplify

(5 a^{2} b c^{3}) \cdot (\frac{1}{5} ab c^{4})

a^{3} b^{2} c^{7}

Solution steps

(5 a^{2} b c^{3}) (\frac{1}{5} ab c^{4})

Apply exponent rule:

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

a^{2} a = a^{2 + 1}

= 5 b c^{3} \frac{1}{5} a^{2 + 1} b c^{4}

Add the numbers:

2 + 1 = 3

= 5 b c^{3} \frac{1}{5} a^{3} b c^{4}

Apply exponent rule:

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

bb = b^{1 + 1}

= 5 c^{3} \frac{1}{5} a^{3} b^{1 + 1} c^{4}

Add the numbers:

1 + 1 = 2

= 5 c^{3} \frac{1}{5} a^{3} b^{2} c^{4}

Apply exponent rule:

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

c^{3} c^{4} = c^{3 + 4}

= 5 \cdot \frac{1}{5} a^{3} b^{2} c^{3 + 4}

Add the numbers:

3 + 4 = 7

= 5 \cdot \frac{1}{5} a^{3} b^{2} c^{7}

Multiply fractions:

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

= \frac{1 \cdot 5 a ^{3} b ^{2} c ^{7}}{5}

Cancel the common factor:

5

= 1 \cdot a^{3} b^{2} c^{7}

Multiply:

1 \cdot a^{3} = a^{3}

= a^{3} b^{2} c^{7}

(x + 3) (x - 1) \leq 0

(1 + 410) (2 - 10)

0 = x^{2} + 4 x + 2

5 x + 15 + x y + 3 y

x^{- \frac{1}{2}} \cdot x^{\frac{1}{2}}

What is (5a^2bc^3)*(1/5 abc^4) ?
The solution to (5a^2bc^3)*(1/5 abc^4) is a^3b^2c^7