Florida B.E.S.T. MA.7.NSO.1.1
The Standard
Know and apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to whole-number exponents and rational number bases.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students simplify and evaluate products, quotients, and nested powers with fractions, decimals, and negative numbers as bases. They rewrite each expression in an equivalent form and check that both forms have the same value.
What Mastery Looks Like
- A student combines exponents correctly when matching bases are multiplied or divided. They simplify nested powers, evaluate zero exponents, and keep negative bases inside parentheses. They can confirm a rewrite by evaluating both forms.
Common Misconceptions
- Students may multiply exponents when multiplying matching bases, or use exponent rules across addition. They often confuse (-2)^4 with -(2^4), subtract quotient exponents in the wrong order, or think a zero exponent makes the value zero.
How to Assess It
- Exit ticket: Rewrite and evaluate (3/4)^2 × (3/4)^3, [(-2/3)^2]^3, and 5^6 ÷ 5^2. For each, show one equivalent exponential form and name the rule used.
Lesson moves
Ways to Teach It
Give groups cards showing exponential expressions and expanded products; students match equivalent pairs, then check every match with a calculator.
Have students answer this prompt: Why do exponents add when matching bases are multiplied, as in (2/3)^2 × (2/3)^4?
Run an exponent relay where teams draw a rule card, rewrite one rational base expression, and score after a teammate verifies the result.
Model five years of 20% depreciation by combining 500(0.8)^2 × (0.8)^3 into one power, then calculate the car's value.
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