Answer:
(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed ⇒ 3rd answer
Step-by-step explanation:
Let us revise some rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex]
[tex]a^{m}[/tex] ×÷ [tex]a^{n}[/tex] = [tex]a^{m-n}[/tex]
[tex](a^{m})^{n}[/tex] = [tex]a^{m.n}[/tex]
[tex](a.b)^{m}[/tex] = [tex]a^{m}[/tex] . [tex]b^{m}[/tex]
To simplify [tex](5t)^{3}[/tex]
∵ 5t means 5 × t
∵ Both of them are cubed
- Use the 4th rule above
∴ [tex](5t)^{3}[/tex] = [tex](5)^{3}.(t)^{3}[/tex]
∵ (5)³ = 5 × 5 × 5 = 125
∴ [tex](5t)^{3}[/tex] = [tex](5)^{3}.(t)^{3}[/tex] = 125 t³
(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed
Answer:
(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed ⇒ 3rd answer
Step-by-step explanation:
