MA.7.NSO.1.1 · Number Sense and Operations and Algebraic Reasoning

Laws of Exponents with Rational Bases: Sample FAST Questions

Students apply the Laws of Exponents to evaluate numerical expressions and write equivalent ones, limited to whole-number exponents and rational bases. That means computing powers like 3^4, (−2)^5, and (2/3)^3, and using the product, quotient, and power rules to rewrite an expression such as 3^4 · 3^2 as 3^6.

How the FAST tests this benchmark

On the FAST, students see equation editor items entering the value of a power and multiple choice items picking the equivalent expression after a rule is applied. Two traps repeat: multiplying the exponents when the bases are multiplied, and the sign of a negative base raised to an even versus an odd exponent.

Skills students need

Evaluate powers with whole-number exponents and rational bases
Apply the product rule to multiply powers with the same base
Apply the quotient rule to divide powers with the same base
Apply the power rule when a power is raised to another power

Try 6 real MA.7.NSO.1.1 questions

These come straight from Algebro's 7th grade question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice

Which expression is equivalent to

3^{2} \cdot 3^{4} \cdot 3^{1}

Showcase extra: the real practice and quiz players do not have this button.

Question 5HardMatching

Match each expression to its simplified single-power form.

Pick one match in each row, then check.

	$10^{6}$	$3^{8}$	$2^{5}$	$(-5)^{4}$
$\dfrac{2^{3} \cdot 2^{4}}{2^{2}}$
$\left(3^{4}\right)^{2}$
$\dfrac{(-5)^{6} \cdot (-5)^{2}}{(-5)^{4}}$
$10^{3} \cdot 10^{3}$

Showcase extra: the real practice and quiz players do not have this button.

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More 7th grade number sense and algebra benchmarks

MA.7.NSO.1.2

Converting Fractions, Repeating Decimals, and Percentages

MA.7.NSO.2.1

Order of Operations with Rational Numbers

MA.7.NSO.2.2

Operations with Rational Numbers