What is (15a^2b^3c^2)(2ab^3c^5) ?

The solution to (15a^2b^3c^2)(2ab^3c^5) is 30a^3b^6c^7

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simplify (15a^2b^3c^2)(2ab^3c^5)

simplify

(15 a^{2} b^{3} c^{2}) (2 a b^{3} c^{5})

30 a^{3} b^{6} c^{7}

Solution steps

(15 a^{2} b^{3} c^{2}) (2 a b^{3} c^{5})

Apply exponent rule:

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

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

= 15 b^{3} c^{2} \cdot 2 a^{2 + 1} b^{3} c^{5}

Add the numbers:

2 + 1 = 3

= 15 b^{3} c^{2} \cdot 2 a^{3} b^{3} c^{5}

Apply exponent rule:

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

b^{3} b^{3} = b^{3 + 3}

= 15 c^{2} \cdot 2 a^{3} b^{3 + 3} c^{5}

Add the numbers:

3 + 3 = 6

= 15 c^{2} \cdot 2 a^{3} b^{6} c^{5}

Apply exponent rule:

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

c^{2} c^{5} = c^{2 + 5}

= 15 \cdot 2 a^{3} b^{6} c^{2 + 5}

Add the numbers:

2 + 5 = 7

= 15 \cdot 2 a^{3} b^{6} c^{7}

Multiply the numbers:

15 \cdot 2 = 30

= 30 a^{3} b^{6} c^{7}

x - 7 \cdot x + 1

\frac{1875.3944 1 ^{2}}{1239.842} \cdot 5.79 \cdot 1 0^{- 5}

e^{- A t}

- 5 e^{- 3 x} (- sin^{2} (x) + cos (x) (3 - cos (x)))

\frac{9 9 ^{100}}{10 0 ^{100}}

What is (15a^2b^3c^2)(2ab^3c^5) ?
The solution to (15a^2b^3c^2)(2ab^3c^5) is 30a^3b^6c^7