Simplify the expression.

16(1/2x)^4
The simplified expression is

1/x^4

Steps:

(1/2x)^4 =  1/2^4x^4

= 16 *  1/2^4x^4

Multiply fractions: a * b/c = a * b/c

= 1 * 16/2^4x^4

Multiply the numbers: 1 * 16 = 16

16/2^4x^4

Factor 16: 2^4

= 2^4/2^4x^4

Cancel the common factor: 2^4

= 1/x^4

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step-by-step explanation:

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: