One of the product rules for exponents was used.
$(ab)^{c}=a^{c}b^{c}$

Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.
$(3z)^{2}\\=(3z)(3z)\\=3\cdot 3\cdot z\cdot z\\=3^{2}z^{2}\\=9z^{2}$

3 0

3 years ago

How many whole sandwiches can be made with 2 pounds of cheese if each sandwich has 3 ounces of cheese on it?

pickupchik [31]

10 whole sandwiches can be made with 2 pounds of cheese if each sandwhich has 3 ounces of cheese on it.

2 pounds = 32 ounces

32/3 = 10.67

8 0

3 years ago

Radius of a sphere that has a surface area 12.56in2 use 3.14

enot [183]

$\bf \textit{surface area of a sphere}\\\\
A=4\pi r^2\qquad 
\begin{cases}
r=radius\\
-----\\
A=12.56
\end{cases}\implies 12.56=4\pi r^2
\\\\\\
\cfrac{12.56}{4\pi }=r^2\implies \sqrt{\cfrac{12.56}{4\pi }}=r$

8 0

3 years ago