A rectangular shoebox has a volume of 728 cubic inches. The base of the shoebox measures 8 inches by 6.5 inches. How long is the shoebox?

Answers

Answer 1

Answer: Okay to solve this you need to divide the volume to the two measurements
728 ÷ 8 = 91 ÷ 6.5 = 14

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Writeeach number in scientific notation.

a) 12,340,000

b) 0.00057

Answers

a) move the decimal 7 places to the left: 1.234 x 10^7

b) move the decimal 4 places to the right: 5.7 x 10^-4

Hope this helps!!

$1\underbrace{2340000}_(\leftarrow7)=1.2340000\cdot10^7=1.234\cdot10^7\n\n\n0.\underbrace{0005}_(4\to)7=5.7\cdot10^(-4)$

Which of the following expressions does not equal: the sixth root of 81x^4y^8a. (3xy^2)^2/3

b. (3x)^2/3y^4/3

c. (3x^2y^4)^1/3

d. cube root of 9x^2y^4

Answers

$\sqrt[6]{81x^4y^8}=\left[3^4x^4(y^2)^4\right]^(1)/(6)=\left[\left(3xy^2\right)^4\right]^(1)/(6)\n\n=\left(3xy^2\right)^{4\cdot(1)/(6)}=\left(3xy^2\right)^(2)/(3)\to A\n\n=\left(3xy^2\right)^(2)/(3)=\sqrt[3]{\left(3xy^2\right)^2}=\sqrt[3]{9x^2y^4}\to D\n\n=\left(3xy^2\right)^(2)/(3)=\left(3x\right)^(2)/(3)y^{2\cdot(2)/(3)}=\left(3x\right)^(2)/(3)y^(4)/(3)\to B\n\n\nAnswer:C$