Don’t lose your progress!

We cover every section of the GMAT with in-depth lessons, 5000+ practice questions and realistic practice tests.

Up to 90+ points GMAT score improvement guarantee

The best guarantee you’ll find

Our Premium and Ultimate plans guarantee up to 90+ points score increase or your money back.

Master each section of the test

Comprehensive GMAT prep

We cover every section of the GMAT with in-depth lessons, 5000+ practice questions and realistic practice tests.

Schedule-free studying

Learn on the go

Study whenever and wherever you want with our iOS and Android mobile apps.

The most effective way to study

Personalized GMAT prep, just for you!

Adaptive learning technology focuses on your academic weaknesses.

Powers: Reverse Rules - Multiplying Powers with the same Base

The following is a basic algebra practice exercise, and not a GMAT-level problem. Which of the following expressions is equivalent to $$3^{x+2}$$?
Incorrect. [[snippet]]
Correct. [[snippet]] $$3^{x+2}$$ is split into a multiplication of powers with base 3. >$$3^x \cdot 3^2$$ Note that this is completely equivalent to $$3^2 \cdot 3^x$$ since the order of the multiplication does not matter. Also, since $$3^2 = 9$$, the expression above is also equal to $$9 \cdot 3^x$$.
Incorrect. Don't fall for this trap. A "+" sign in the exponent does not mean that the powers themselves have been added: For a counter example, $$2^2 + 2^2$$ does not equal $$2^{2+2} = 2^4=16$$. [[snippet]]
$$3^x \cdot 3^2$$
$$3^{x^2}$$
$$3^x + 3^2$$