Understanding Exponents and Simplifying Expressions

The video tutorial explains how to solve the equation 2M - 3N = 3 and find the value of 16^M divided by 64^N. It demonstrates converting 16 and 64 into powers of 4, manipulating exponents using power rules, and calculating the final result as 4 cubed, which equals 64.

What equation is given at the start of the problem?

• 2M + 3N = 3

• 3M + 2N = 3

• 2M - 3N = 3

• 3M - 2N = 3

Tags

CCSS.6.EE.A.1

How can 16 be expressed in terms of powers of 4?

• 4^1

• 4^2

• 4^3

• 4^4

Tags

CCSS.8.EE.A.1

What is the result of applying the power of a power rule to 16^M?

• 4^(2M)

• 4^(M)

• 4^(4M)

• 4^(3M)

Tags

CCSS.8.EE.A.1

What is the simplified form of the expression 16^M / 64^N?

• 4^(2M - 3N)

• 4^(3M - 2N)

• 4^(M - N)

• 4^(3N - 2M)

Tags

CCSS.HSF.IF.A.2

What is the final value of 4^(2M - 3N) given 2M - 3N = 3?

• 16

• 32

• 128

• 64

Tags

CCSS.HSF.IF.A.2