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McGraw Hill Integrated II, 2012 View details

3. Multiplying Polynomials

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Exercise 63 Page 27

To simplify the given expression, use the Properties of Exponents.

-56t^(12)

Practice makes perfect

To simplify the given expression, we will use the Properties of Exponents. For this exercise, we will begin by distributing both exponents. Then we will try to simplify the expression. Let's do it!

( -2t^4 )^3-3 ( -2t^3 )^4

PowProd

(a * b)^m=a^m* b^m

(-2)^3*(t^4 )^3-3*(-2)^4 * ( t^3 )^4

NegBaseToNegPow

(- a)^3 = - a^3

-2^3*(t^4 )^3-3*(-2)^4 * ( t^3 )^4

NegBaseToPosPow

(- a)^4 = a^4

-2^3*(t^4 )^3-3* 2^4 * ( t^3 )^4

PowPow

(a^m)^n=a^(m* n)