What is 30(2)^t*8(1.5)^t ?

The solution to 30(2)^t*8(1.5)^t is 240*3^t

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simplify 30(2)^t*8(1.5)^t

simplify

30 (2)^{t} \cdot 8 (1.5)^{t}

240 \cdot 3^{t}

Solution steps

30 \cdot 2^{t} \cdot 8 \cdot 1. 5^{t}

Multiply the numbers:

30 \cdot 8 = 240

= 240 \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}

= 240 (2 \cdot 1.5)^{t}

Multiply the numbers:

2 \cdot 1.5 = 3

= 240 \cdot 3^{t}

(\frac{1}{2} a^{2} b) \cdot (\frac{2}{5} a b^{3})

\frac{2. 5 ^{- 4}}{7. 5 ^{- 4}}

(4 b^{3}) (8 b^{2})

(2 a^{2}) (8 a)