Q1. Exponents

Question

Which of the following expressions is a simplified form of (–2x 2)4?

(A) 16x8

(B) 8x6

(C) –8x8

(D) –16x6

(E) –16x8

Explanation

Raise both the coefficient –2 and variable x2 to the power of 4. When raising an exponent to a power, multiply together the exponents:

(–2x2)4= (–2)4x(2)(4)= 16x8

Lesson

Know MADSPM for exponents (Multiply-Add-Divide-Subtract-Power-Multiply)

  • When you are multiplying exponents, you're actually adding them.

    • Example: X5*X2= X7
  • When you are dividing exponents, you're actually subtracting them.

    • Example: X5/ X2= X3
  • When you are asked for one exponent to the power of another, you're actually multiplying them.

    • Example: (X5)2 = X10

Want more practice questions? Check out the Worthington Prep SAT Tutoring Questions page.

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Q2. Distance Formula