Answer: " 42 r ³ "
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Explanation:
Given: " (6r²) (7r) "; Simplify the expression:
→ (6r²) (7r) ;
= 6 * r² * 7 * r ;
Now; rearrange to write the "like terms" in close proximity— starting with the numbers:
= 6 * 7 * r² * r ;
= (6 * 7) * (r² * r) ;
= (42) * (r² * r) ; {Note that: " r = r¹ " } ;
= (42) * (r² * r¹)
Note: " r² * r¹ = r ⁽² ⁺ ¹⁾ = r³ ";
Note the addition property of exponents:
" xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ ⁾ ";
Now, note that we can rewrite the simplified expression; which is:
→ " 42 r ³ " ; which is our answer.
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Hope this is helpful to you!
Best wishes!
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