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Simplify, `(3x^-4 d^5)^2 times 12cd^-4` give answer with non-negative exponents (3x to...
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High School Teacher
`(3x^-4 d^5)^2 times 12cd^-4`
First remove the breackets and use the rules of exponents by multiplying exponents due to the bracket:
`therefore = 3^2x^(-4 times2)d^(5 times2) times 12 c d^-4`
Now arrange in terms of the rules of exponents. Negartive exponents indicate division:
`therefore = (9 d^10)/x^8 times (12c)/d^4`
Now create one expression by combining like terms where appropriate:
`therefore = (108 c d ^(10-4))/x^8`
Note that the base "d" has been combined using the rules.
Ans: `therefore = (108cd^6)/x^8`
Posted by durbanville on June 25, 2013 at 3:11 PM (Answer #1)
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