QuestionAugust 26, 2025

Writing an Expression in Exponential Form In Exercises 1 and 2, rewrite the expression in exponential form. 1. 2cdot 2cdot 2cdot 2cdot 2cdot 2 5cdot 5cdot 5cdot 5cdot 5cdot 5 Evaluating an Exponential Expression In Exercises 3-14 evaluate the expression. 6. 6^3 3. 3^2 4. 4^3 5. 2^6 7. ((1)/(4))^3 8. ((4)/(5))^4 9. (-5)^3 10. (-4)^2 11. -4^2 12. -(-7)^3 13. (-1.2)^3 14. (-1.5)^4 Exercises Within Reach

Writing an Expression in Exponential Form In Exercises 1 and 2, rewrite the expression in exponential form. 1. 2cdot 2cdot 2cdot 2cdot 2cdot 2 5cdot 5cdot 5cdot 5cdot 5cdot 5 Evaluating an Exponential Expression In Exercises 3-14 evaluate the expression. 6. 6^3 3. 3^2 4. 4^3 5. 2^6 7. ((1)/(4))^3 8. ((4)/(5))^4 9. (-5)^3 10. (-4)^2 11. -4^2 12. -(-7)^3 13. (-1.2)^3 14. (-1.5)^4 Exercises Within Reach
Writing an Expression in Exponential Form In Exercises 1 and 2, rewrite the expression in exponential form. 1. 2cdot 2cdot 2cdot 2cdot 2cdot 2 5cdot 5cdot 5cdot 5cdot 5cdot 5 Evaluating an Exponential Expression In Exercises 3-14 evaluate the expression. 6. 6^3 3. 3^2 4. 4^3 5. 2^6 7. ((1)/(4))^3 8. ((4)/(5))^4 9. (-5)^3 10. (-4)^2 11. -4^2 12. -(-7)^3 13. (-1.2)^3 14. (-1.5)^4 Exercises Within Reach

Solution
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Answer

2^6, 5^6, 216, 9, 64, 64, \frac{1}{64}, \frac{256}{625}, -125, 16, -16, 343, -1.728, 5.0625 Explanation 1. Rewrite in Exponential Form 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 2^6 and 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 = 5^6 2. Evaluate 6^3 6^3 = 6 \times 6 \times 6 = 216 3. Evaluate 3^2 3^2 = 3 \times 3 = 9 4. Evaluate 4^3 4^3 = 4 \times 4 \times 4 = 64 5. Evaluate 2^6 2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64 6. Evaluate (\frac{1}{4})^3 (\frac{1}{4})^3 = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64} 7. Evaluate (\frac{4}{5})^4 (\frac{4}{5})^4 = \frac{4}{5} \times \frac{4}{5} \times \frac{4}{5} \times \frac{4}{5} = \frac{256}{625} 8. Evaluate (-5)^3 (-5)^3 = -5 \times -5 \times -5 = -125 9. Evaluate (-4)^2 (-4)^2 = -4 \times -4 = 16 10. Evaluate -4^2 -4^2 = -(4 \times 4) = -16 11. Evaluate -(-7)^3 -(-7)^3 = -(-7 \times -7 \times -7) = 343 12. Evaluate (-1.2)^3 (-1.2)^3 = -1.2 \times -1.2 \times -1.2 = -1.728 13. Evaluate (-1.5)^4 (-1.5)^4 = (-1.5) \times (-1.5) \times (-1.5) \times (-1.5) = 5.0625

Explanation

1. Rewrite in Exponential Form<br /> $2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 2^6$ and $5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 = 5^6$<br /><br />2. Evaluate $6^3$<br /> $6^3 = 6 \times 6 \times 6 = 216$<br /><br />3. Evaluate $3^2$<br /> $3^2 = 3 \times 3 = 9$<br /><br />4. Evaluate $4^3$<br /> $4^3 = 4 \times 4 \times 4 = 64$<br /><br />5. Evaluate $2^6$<br /> $2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64$<br /><br />6. Evaluate $(\frac{1}{4})^3$<br /> $(\frac{1}{4})^3 = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64}$<br /><br />7. Evaluate $(\frac{4}{5})^4$<br /> $(\frac{4}{5})^4 = \frac{4}{5} \times \frac{4}{5} \times \frac{4}{5} \times \frac{4}{5} = \frac{256}{625}$<br /><br />8. Evaluate $(-5)^3$<br /> $(-5)^3 = -5 \times -5 \times -5 = -125$<br /><br />9. Evaluate $(-4)^2$<br /> $(-4)^2 = -4 \times -4 = 16$<br /><br />10. Evaluate $-4^2$<br /> $-4^2 = -(4 \times 4) = -16$<br /><br />11. Evaluate $-(-7)^3$<br /> $-(-7)^3 = -(-7 \times -7 \times -7) = 343$<br /><br />12. Evaluate $(-1.2)^3$<br /> $(-1.2)^3 = -1.2 \times -1.2 \times -1.2 = -1.728$<br /><br />13. Evaluate $(-1.5)^4$<br /> $(-1.5)^4 = (-1.5) \times (-1.5) \times (-1.5) \times (-1.5) = 5.0625$
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