ASVAB · Exponents and Roots

Simplify: x³ × x⁴

Reviewed by Jordan Morley, Editorial Lead at 247SimpleTests. Written by the 247SimpleTests Editorial Team from the official source material cited on every question.

Correct answer

x⁷

A x
B x¹²
C x⁷
D 2x⁷

Why this is the answer

When multiplying same base, add exponents: x³ × x⁴ = x^(3+4) = x⁷. Exponent rules: when multiplying powers with the same base, add the exponents; when raising a power to a power, multiply them; when dividing, subtract. The distractor x¹² multiplies the exponents (that would be (x³)⁴), 2x⁷ wrongly adds a coefficient, and plain x ignores the exponents altogether. Writing it out, x³ × x⁴ = (x·x·x)(x·x·x·x) = seven x's multiplied, confirms x⁷.

Source: ASVAB MK, Exponent Rules

Practice more questions

This question is from our ASVAB Practice Tests practice test. Take the full practice test to test your knowledge across all Exponents and Roots and other topics.

Take the Mathematics Knowledge practice test →

About this topic: Exponents and Roots

Exponents and roots questions cover the laws of exponents (adding when multiplying, multiplying when raising a power to a power), negative and zero exponents, scientific notation, and simplifying square roots. This is one of 10 Mathematics Knowledge questions on exponents and roots, each with a full explanation on a single study page.

New to this exam? Our ASVAB exam guide explains the format, scoring, and how to prepare.

Recommended study materials

Study guide

As an Amazon Associate, CJ Affiliate, and AWIN publisher we earn from qualifying purchases. Links above are affiliate links. Full disclosure →

Simplify: x³ × x⁴

Why this is the answer

Practice more questions

About this topic: Exponents and Roots

Related questions

What is 2⁵?

Simplify: √48

What is x⁻² when x = 4?

Simplify: (3x²)(4x³)

Recommended study materials

ASVAB Total Prep (Kaplan)

Barron's ASVAB with Online Tests 12th Ed.

ASVAB for Dummies 4th Ed. (Wiley)