Which expression is equivalent to the given expression?

A. 6a/b^7

Step-by-step explanation:

you have to factorize it

simplify the denominator

you know that a^0 = 1  

so it becomes: (b^2)^4  ( 1b is the same as b )

using laws of exponents: (a^n)^m = a^m x n

so here: b^2 x 4

which is b^8

now put that in the original question as denominator

6ab/b^8

you can cancel b and b^8

which gives you 6a/b^7

so the answer is A. 6a/b^7

75

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: