Exam Prep Week 3

What is the simplified form of (2x10²)² in standard notation?

• 2x10⁴
• 4x10⁴
• 2
• 4

What is the simplified form of (0.00038x10³)² in standard notation?

• 1.444x10^-1
• 1.444x10⁶
• 3.8x10²
• 3.8x10^-1

The side of a square measures 2x²y³. What is the area of the square if x = -2 and y = 2?

• 64
• -64
• 4096
• -4096

The side of a square measures 3mn². What is the area of the square if m = 4 and n = -2?

• 48
• -48
• 2304
• -2304

The radius of a circle is 0.00012x10⁵ft. What is the area of the circle? Use the formula A=π r².

• 4.52x10²ft²
• 3.77x10⁷ft²
• 3.77x10²²ft²
• 4.52x10^-8ft²

Which of the following is equivalent to the fraction in the image when x≠0 and y≠0?

• x⁶y^5/2
• x⁵y
• x⁴y
• x⁴y^3/2

Which expression is NOT equal to 125?

• F
• G
• H
• I

A fraction reduces to 36. If its numerator is (6x)⁵, what is its denominator?

• 6³x
• 6³x⁵
• 6x⁵
• 6⁷x⁵

What is the correct simplification of (5.4x10¹²)/(1.2x10³) when written in scientific notation?

• 4.5x10⁷
• 4.5x10⁹
• 45x10⁶
• 6.48x10⁷

Which of the following statements is NOT true regarding operations with exponents?

• To divide powers with the same base, subtract the exponents.
• To subtract powers with the same base, divide the exponents.
• To multiply powers with the same base, add the exponents.
• To raise a power to a power, multiply the exponents.