× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
5
o
5
4
m
4
b
4
x
4
a
4
l
4
t
4
S
4
m
3
s
3
New Topic  
bio_man bio_man
wrote...
Subject Expert
Administrator
Valued Member
Educator
Posts: 33224
5 years ago
\(2\sqrt{\sqrt{x}}\cdot 2\sqrt{x}\)

First, we change to fractional exponents:

\(2\left(x^{\frac{1}{2}}\right)^{\frac{1}{2}}\cdot 2\left(x\right)^{\frac{1}{2}}\)

Multiply the 2's

\(4\left(x^{\frac{1}{2}}\right)^{\frac{1}{2}}\left(x\right)^{\frac{1}{2}}\)

Use exponent laws to multiple a power to a power

\(4\left(x^{\frac{1}{4}}\right)\left(x\right)^{\frac{1}{2}}\)

Now add the exponents using the product rule for laws of exponents

\(4\left(x^{\frac{1}{4}+\frac{1}{2}}\right)=4\left(x\right)^{\frac{3}{4}}\)

Bring back to radical form:

\(4\sqrt[4]{x^3}\)

Your answer Slight Smile
Read 317 times
1 Reply

Related Topics

Replies
wrote...
5 years ago
Great
New Topic      
Explore
Post your homework questions and get free online help from our incredible volunteers
  876 People Browsing
 111 Signed Up Today
Related Images
  
 334
  
 655
  
 273