How do you simplify $- {(3 a^{6} b^{4})}^{3}$ $-(3a^6 b^4)^3$ ?

Question

How do you simplify $- {(3 a^{6} b^{4})}^{3}$ $-(3a^6 b^4)^3$ ?

1 Answer

Impact of this question

1564 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-19T22:47:43

See a solution process below:

Explanation:

First, use this rule for exponents to rewrite the $3$ $3$ term:

$a = a^{1}$ $a = a^color(red)(1)$

$- {(3 a^{6} b^{4})}^{3} \Rightarrow - {(3^{1} a^{6} b^{4})}^{3}$ $-(3a^6b^4)^3 => -(3^color(red)(1)a^6b^4)^3$

Next, use this rule to eliminate the outer exponent:

${(x^{a})}^{b} = x^{a \times b}$ $(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))$

$- {(3^{1} a^{6} b^{4})}^{3} \Rightarrow - 3^{1 \times 3} a^{6 \times 3} b^{4 \times 3} \Rightarrow - 3^{3} a^{18} b^{12} \Rightarrow - 27 a^{18} b^{12}$ $-(3^color(red)(1)a^color(red)(6)b^color(red)(4))^color(blue)(3) => -3^(color(red)(1)xxcolor(blue)(3))a^(color(red)(6)xxcolor(blue)(3))b^(color(red)(4)xxcolor(blue)(3)) => -3^3a^18b^12 => -27a^18b^12$

Science

Math

Humanities

... and beyond

How do you simplify $- {(3 a^{6} b^{4})}^{3}$ $-(3a^6 b^4)^3$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify −(3a6b4)3-(3a^6 b^4)^3?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $- {(3 a^{6} b^{4})}^{3}$ $-(3a^6 b^4)^3$ ?