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
• 9𝑎/18𝑏/5
• 9𝑎/18𝑏
• 9𝑎/13𝑏/5

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

• -5
• 5
• 2024-01-05 00:00:00
• =-1/5

What is the simplified form of the expression (𝑑/11𝑓/16)/(𝑑6𝑓/6)?

• 𝑑/15𝑓/30
• 1/𝑑15𝑓/30
• 𝑑/33𝑓/48
• 𝑑/5𝑓/10

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

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

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

• 2024-02-27 00:00:00
• 2024-08-27 00:00:00
• 2024-06-09 00:00:00
• 2024-08-09 00:00:00

Which of the following statements is TRUE?

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

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