Question
In parts (a) and (b), complete each statement.a. $\frac{b^{7}}{b^{3}}=\frac{b \cdot b \cdot b \cdot b \cdot b \cdot b \cdot b}{b \cdot b \cdot b}=b^{2}$b. $\frac{b^{8}}{b^{2}}=\frac{b \cdot b \cdot b \cdot b \cdot b \cdot b \cdot b \cdot b}{b \cdot b}=b^{?}$c. Generalizing from parts (a) and (b), what should be done with the exponents when dividing exponential expressions with the same base?
Step 1
According to the rules of exponents, when we divide two exponents with the same base, we subtract the exponent in the denominator from the exponent in the numerator. So, we have $b^{7-3}$. Show more…
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In parts (a) and (b), complete each statement. $$ \text { a. } \frac{b^{7}}{b^{3}}=\frac{b \cdot b \cdot b \cdot b \cdot b \cdot b \cdot b}{b \cdot b \cdot b}=b^{?} $$ $$ \text { b. } \frac{b^{8}}{b^{2}}=\frac{b \cdot b \cdot b \cdot b \cdot b \cdot b \cdot b \cdot b}{b \cdot b}=b^{?} $$ c. Generalizing from parts (a) and (b), what should be done with the exponents when dividing exponential expressions with the same base?
Fundamental Concepts of Algebra
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In parts (a) and (b), complete each statement. $$\text { a. } b^{4} \cdot b^{3}=(b \cdot b \cdot b \cdot b)(b \cdot b \cdot b)=b^{?}$$ $$\text { b. } b^{5} \cdot b^{5}=(b \cdot b \cdot b \cdot b \cdot b)(b \cdot b \cdot b \cdot b \cdot b)=b^{7}$$ c. Generalizing from parts (a) and (b), what should be done with the exponents when multiplying exponential expressions with the same base?
In parts (a) and (b), complete each statement. a. $b^{4} \cdot b^{3}=(b \cdot b \cdot b \cdot b)(b \cdot b \cdot b)=b^{?}$ b. $b^{5} \cdot b^{5}=(b \cdot b \cdot b \cdot b \cdot b)(b \cdot b \cdot b \cdot b \cdot b)=b^{?}$ c. Generalizing from parts (a) and (b), what should be done with the exponents when multiplying exponential expressions with the same base?
Prerequisites: Fundamental Concepts of Algebra
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