1
\left(\tfrac45\right)^{-3} \cdot \left(\tfrac{10}{3}\right)^{-2}
Chapter 26 · Exponents
Chapter challenge
Ten problems drawn from every lesson in the chapter. Get each one right on your first try for a perfect score. A new set is drawn each time.
0first-try
0of 10 done
From Zero and Negative Exponents, exercise 8
Write with positive exponents and then simplify results:
From Division with Any Exponents, exercise 22
Perform the indicated division:
2
\left(2x^{-2a} - 28x^{-a} + 33 + 38x^a + 11x^{2a} + x^{3a}\right) \div \left(x^a - 2x^{-a} + 4\right)
From Positive Exponents and Expressions Without Denominators, exercise 67
Write with positive exponents and simplify results:
3
\dfrac{a^{-2} - b^{-2}}{a^{-1} + b^{-1}}
From Zero and Negative Exponents, exercise 15
Write with positive exponents and then simplify results:
4
32^{-\frac25}
From Positive Exponents and Expressions Without Denominators, exercise 75
Write without a denominator:
5
\dfrac{12a^2b^3}{4xy^2}
From Expanding and Longer Products, exercise 58
Expand:
6
(e^{2x} - 2 + e^{-2x})^2
From Zero and Negative Exponents, exercise 10
Write with positive exponents and then simplify results:
7
\dfrac{3}{3^0}
From Positive Exponents and Expressions Without Denominators, exercise 52
Write with positive exponents and simplify results:
8
\dfrac{4a^{-2}b^0}{y^{-5}}
From Multiplication with Any Exponents, exercise 28
Perform the indicated multiplications (1–51 are oral):
9
\left(x^{\frac12}\right)^4
From Multiplication with Any Exponents, exercise 6
Perform the indicated multiplications (1–51 are oral):
10
x^{\frac34} \cdot x^{\frac43}