Rational exponents jigsaw

Front

What is a rational exponent?

Back

A rational exponent is an exponent that is a fraction, where the numerator indicates the power and the denominator indicates the root. For example, x^(1/2) is the square root of x.

Front

Simplify the expression: (x^(1/2))^4

Back

x^2

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents can be expressed as roots. For example, x^(1/n) is equivalent to the n-th root of x.

Front

Simplify the expression: (∜y)^10

Back

y^(5/2)

Front

Solve for x: (x + 2)^(1/2) - 5 = -2

Back

x = 7

Front

What does the expression x^(m/n) represent?

Back

It represents the n-th root of x raised to the m-th power.

Front

Simplify the expression: 2^(3/2)

Back

2√2 or approximately 2.828.

Front

What is the value of 8^(1/3)?

Back

2, because 2^3 = 8.

Front

If a^(m/n) = b, what is a in terms of b?

Back

a = b^(n/m).

Front

What is the simplified form of (x^(1/3))^6?

Back

x^2.