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} \cdot 5000 (1.111)^{t}

1000000 \cdot 1.222 1^{t}

Solution steps

200 \cdot 1. 1^{t} \cdot 5000 \cdot 1.11 1^{t}

Multiply the numbers:

200 \cdot 5000 = 1000000

= 1000000 \cdot 1. 1^{t} \cdot 1.11 1^{t}

Apply exponent rule:

a^{n} b^{n} = (a \cdot b)^{n}

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

= 1000000 (1.1 \cdot 1.111)^{t}

Multiply the numbers:

1.1 \cdot 1.111 = 1.2221

= 1000000 \cdot 1.222 1^{t}

\frac{1}{2} \cdot \frac{1}{2} (16 - x^{2})^{- \frac{1}{2}} \cdot (2 x)

\frac{1}{2} x^{4} (16 x^{5})

(3 r^{4}) (12 r^{6})

1.75 \cdot 1 0^{- 5} \cdot 0.1

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