Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

SAT

Easy

Question

If $a to the power of b over 4 end exponent equals 16$ for positive integers a and b, what is one possible value of b?

The correct answer is: 16

$a to the power of b over 4 end exponent equals 4 to the power of 2 space end exponent rightwards double arrow b over 4 equals space 2 rightwards double arrow b space equals 8 a to the power of b over 4 end exponent equals 2 to the power of 4 rightwards double arrow b over 4 equals space 4 rightwards double arrow b space equals 16 a to the power of b over 4 end exponent equals 16 to the power of 1 rightwards double arrow b over 4 equals 1 rightwards double arrow b space equals 4 a to the power of b over 4 end exponent equals left parenthesis 16 squared right parenthesis to the power of 1 half end exponent equals space fraction numerator b over denominator 4 end fraction equals 1 half rightwards double arrow b space equals 2$

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.