Project ID:
7100020027
Accepted:
Type:
Layout:
Question:
Match the expressions that are equal for all positive real numbers $x$ and $y$.
Question 1:
$\left( x^2\right)^3$
Answer 1:
$x^6$
Question 2:
$x^{-\frac14} \cdot x^{\frac34}$
Answer 2:
$x^{\frac12}$
Question 3:
$\left( x^{-\frac12}\right)^{-2}$
Answer 3:
$x$
Question 4:
$\frac{x^{-\frac25}}{x^{\frac35}}$
Answer 4:
$x^{-1}$
Question 5:
$x^5 \cdot y^5$
Answer 5:
$(xy)^5$
Question 6:
$\frac{x^3}{y^3}$
Answer 6:
$\left( \frac{x}{y}\right)^3$
Question 7:
$\left(\frac1{x} \right)^{-2}$
Answer 7:
$x^2$
Question 8:
$2^{-1} \cdot \frac{4}{x^{-2}}$
Answer 8:
$2x^2$
Question 9:
$\left[ \left(2^0 \cdot x^{-2}\right)^{-2}\right]^{-2}$
Answer 9:
$x^{-8}$