What is (200(1.1)^t)(5000(1.111)^t) ?

The solution to (200(1.1)^t)(5000(1.111)^t) is 1000000*1.2221^t

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simplify (200(1.1)^t)(5000(1.111)^t)

simplify

(200 (1.1)^{t}) (5000 (1.111)^{t})

1000000 \cdot 1.222 1^{t}

Solution steps

(200 (1.1)^{t}) (5000 (1.111)^{t})

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

1. 1^{t} \cdot 1.11 1^{t} = (1.1 \cdot 1.111)^{t}

= 200 \cdot 5000 (1.1 \cdot 1.111)^{t}

Multiply the numbers:

1.1 \cdot 1.111 = 1.2221

= 200 \cdot 5000 \cdot 1.222 1^{t}

Multiply the numbers:

200 \cdot 5000 = 1000000

= 1000000 \cdot 1.222 1^{t}

e^{- 0.41}

, (\frac{2}{3})^{2} \cdot (\frac{3}{2})^{- 1} \cdot 2^{- 1} \cdot (\frac{1}{4})^{0}

(e^{- 9 x})^{2}

1 0^{4} (1.2 \cdot 1 0^{- 2})

\frac{25 ( x - 1 )}{5 ( x - 1 ) ^{2}}

What is (200(1.1)^t)(5000(1.111)^t) ?
The solution to (200(1.1)^t)(5000(1.111)^t) is 1000000*1.2221^t