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Simplify.Your answer should contain only positive exponents.
1.) r³ r³
2.) 3k³ • k³
3.) (3b²)³
4.) (2m³)³
5.) 3r³


help please I need the answer right now:(​

Sagot :

Step-by-step explanation:

1) [tex]r^3r^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]=r^{3+3}[/tex]

[tex]=r^6[/tex]

2) [tex]3k^3k^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]=3k^{3+3}[/tex]

[tex]=3k^6[/tex]

3) [tex]\left(3b^2\right)^3[/tex]

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

[tex]=3^3\left(b^2\right)^3[/tex]

[tex]=27\left(b^2\right)^3[/tex]

[tex]=27b^6[/tex]

4) [tex]\left(2m^3\right)^3[/tex]

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

[tex]=2^3\left(m^3\right)^3[/tex]

[tex]=8\left(m^3\right)^3[/tex]

[tex]=8m^{3\cdot \:3}[/tex]

[tex]=8m^9[/tex]

5) [tex]\frac{3r^3}{r^2}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=3r^{3-2}[/tex]

[tex]=3r^1[/tex]

[tex]=3r[/tex]