Q2 M4 - SIMPLIFYING EXPRESSIONS INVOLVING RATIONAL EXPONENTS

What is the radical form of (6𝑥^4𝑦^5)^(1/2)?

• √(6𝑥^4𝑦^5)
• √(6𝑥^4𝑦^2)
• √(6𝑥^2𝑦^5)
• √(6𝑥^4𝑦^5)

What is the exponential form of √(6𝑥^5𝑦^8)^(10)?

• (6𝑥^8𝑦^5)^(1/10)
• 6^(1/10)𝑥^5𝑦^8
• √(6𝑥^5𝑦^8)^10
• 6𝑥^(1/2)𝑦^(4/5)

Write in radical form 5𝑤𝑥^(1/6)𝑦^(5/6)?

• 5𝑤√(𝑥𝑦^(5/6))
• 6𝑤√(𝑥𝑦^(6/5))
• √(5𝑥𝑦^(5/6))
• 5𝑤√(𝑥^(5/6)𝑦)

If rules for integral exponents are applied to rational exponents, how can you simplify (𝑏^(1/𝑛))^𝑚?

• 𝑏^(𝑚/𝑛)
• 𝑏^(1/𝑚)
• 𝑏^(1/𝑛)
• 𝑏^(-𝑚/𝑛)

Evaluate the expression 1000^(2/3)?

• 10
• 100
• 1000
• 10000

Simplify (27^(-1/3))^2

• =-1/9
• 2023-01-09 00:00:00
• -9
• 9

Find the simplified form of 8(12^(-2))

• 1936-01-01 00:00:00
• 2023-01-18 00:00:00
• 2023-01-12 00:00:00
• 2023-01-24 00:00:00

What is the simplified form of 16^(3/2)?

• 8
• 24
• 16
• 64

What is the exponential form of (√(2𝑚 + 𝑛)^3)^(4)?

• (2𝑚 + 𝑛)^(3/4)
• (2𝑚 + 𝑛)^(34)
• (2𝑚 + 𝑛)^(4/3)
• (2𝑚 + 𝑛)^(√4)

What is the simplified form of the expression (343/64)^(-2/3)?

• 16/49
• 2023-08-14 00:00:00
• 49/16
• 14/8