What is 25(2)^t*150(1.5)^t ?

The solution to 25(2)^t*150(1.5)^t is 3750*3^t

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simplify 25(2)^t*150(1.5)^t

simplify

25 (2)^{t} \cdot 150 (1.5)^{t}

3750 \cdot 3^{t}

Solution steps

25 \cdot 2^{t} \cdot 150 \cdot 1. 5^{t}

Multiply the numbers:

25 \cdot 150 = 3750

= 3750 \cdot 2^{t} \cdot 1. 5^{t}

Apply exponent rule:

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

2^{t} \cdot 1. 5^{t} = (2 \cdot 1.5)^{t}

= 3750 (2 \cdot 1.5)^{t}

Multiply the numbers:

2 \cdot 1.5 = 3

= 3750 \cdot 3^{t}

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