Question

Simplify.Your answer should contain only positive exponents.

1.) r³ r³
2.) 3k³ • k³
3.) (3b²)³
4.) (2m³)³
5.) 3r³
—
r²
help please I need the answer right now:(​

Answer 1

Explanation:

1)
`r^3r^3`

`\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^(b+c)`

`=r^(3+3)`

`=r^6`

2)
`3k^3k^3`

`\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^(b+c)`

`=3k^(3+3)`

`=3k^6`

3)
`\left(3b^2\right)^3`

`\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n`

`=3^3\left(b^2\right)^3`

`=27\left(b^2\right)^3`

`=27b^6`

4)
`\left(2m^3\right)^3`

`\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n`

`=2^3\left(m^3\right)^3`

`=8\left(m^3\right)^3`

`=8m^(3\cdot \:3)`

`=8m^9`

5)
`(3r^3)/(r^2)`

`\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)=x^(a-b)`

`=3r^(3-2)`

`=3r^1`

`=3r`