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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 302^t8*1.5^t

simplify

30 \cdot 2^{t} \cdot 8 \cdot 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}

2 x - 1 (2 x x - 1)

(3000) 4 π (8.85 (1 0^{- 12})) (0.4)

6000 (1 + 0.06 \cdot 24)^{- 1}