What is 5a^2b^3(5^{10}a^{10}b^{20}) ?

The solution to 5a^2b^3(5^{10}a^{10}b^{20}) is 48828125a^{12}b^{23}

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simplify 5a^2b^3(5^{10}a^{10}b^{20})

simplify

5 a^{2} b^{3} (5^{10} a^{10} b^{20})

48828125 a^{12} b^{23}

Solution steps

5 a^{2} b^{3} (5^{10} a^{10} b^{20})

Apply exponent rule:

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

5 \cdot 5^{10} = 5^{1 + 10}

= a^{2} b^{3} \cdot 5^{1 + 10} a^{10} b^{20}

Add the numbers:

1 + 10 = 11

= a^{2} b^{3} \cdot 5^{11} a^{10} b^{20}

Apply exponent rule:

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

a^{2} a^{10} = a^{2 + 10}

= b^{3} \cdot 5^{11} a^{2 + 10} b^{20}

Add the numbers:

2 + 10 = 12

= b^{3} \cdot 5^{11} a^{12} b^{20}

Apply exponent rule:

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

b^{3} b^{20} = b^{3 + 20}

= 5^{11} a^{12} b^{3 + 20}

Add the numbers:

3 + 20 = 23

= 5^{11} a^{12} b^{23}

5^{11} = 48828125

= 48828125 a^{12} b^{23}

u (t) e^{- \frac{t}{a}}

3.02 x 1 0^{- 1}

50 \cdot e^{- 1.7918}

e^{(- (1))} \frac{( ( 1 ) ^{2} + 4 ( 1 ) + 6 )}{1 ^{4}}

[- 1.1] \frac{x ^{2}}{( x ^{3} + 3 ) ^{2}}

What is 5a^2b^3(5^{10}a^{10}b^{20}) ?
The solution to 5a^2b^3(5^{10}a^{10}b^{20}) is 48828125a^{12}b^{23}