Q2 M3 - SIMPLIFYING EXPRESSIONS INVOLVING INTEGRAL EXPONENTS

What is the simplified form of the expression 3 - 2𝑎 / (8𝑏 - 7) / (9 - 2𝑎 - 5𝑏 - 12)?

• 9𝑎 / 13𝑏 / 5 / 6
• 9𝑎 / 18𝑏 / 5 / 6
• 9𝑎 / 18𝑏 / 5
• 9𝑎 / 13𝑏 / 5

Which of the following is the equivalent of the expression (5 - 2)(50)(53)?

• -5
• 5
• 2023-01-05 00:00:00
• =-1 / 5

What is the simplified form of the expression (𝑑^(11𝑓 - 16) / 𝑑^6𝑓^6)?

• 𝑑^(15𝑓) / 30
• 1 / (𝑑^(15𝑓) / 30)
• 𝑑^(33𝑓) / 48
• 𝑑^(5𝑓) / 10

What is the product of the given expression involving exponents (-8𝑓^6𝑔)(-3𝑓^2𝑔^5)?

• -24𝑓^8𝑔^6
• 11𝑓^8𝑔^6
• 24𝑓^8𝑔^6
• -11𝑓^8𝑔^6

Which of the following gives us the result if we are to evaluate (2 / 3)^3?

• 2023-02-27 00:00:00
• 2023-08-27 00:00:00
• 2023-06-09 00:00:00
• 2023-08-09 00:00:00

Which of the following statements is TRUE?

• (4 / 6)^3 = 4 / 9
• 4 / (6𝑥4 / 3) = 7 / 18
• 4^0 = 0
• (4 / 6)^(4 / 3) = 4^(3 / 7)

What is the product of the expressions (-9𝑚𝑛^3)^2(3𝑚^4𝑛^5)^2?

• 729𝑚^10𝑛^16
• 242𝑚^10𝑛^16
• 108𝑚^8𝑛^12
• 81𝑚^6𝑛^10

Which of the following is the quotient of the expression (4𝑚^3𝑛)(2𝑚^2𝑛^5) / (8𝑚^7𝑛)?

• 𝑚^2 / 𝑛^5
• 𝑛^5 / 𝑚^2
• 𝑚^2𝑛^5
• 𝑚^12𝑛^7

When dividing powers of the same base, powers are being subtracted in a manner which is shown in this concept 𝒙^𝒎 / 𝒙^𝒏 = 𝒙^(𝒎−𝒏) ONLY when?

• 𝑚 < 𝑛
• 𝑚 = 𝑛
• 𝑚 > 𝑛
• 𝑚 ≠ 𝑛

When raising a quotient to a power, we distribute the power to each component of the quotient. Which of the following best displays this concept of (𝑥 / 𝑦)^𝑚?

• 𝑥^𝑚 / 𝑦^𝑚
• 𝑥^(-𝑚) / 𝑦^(-𝑚)
• 𝑚𝑥 / 𝑚𝑦
• 𝑥^𝑚 / 𝑦^𝑚