8th Hybrid Midterm Review Day 1

Front

What is the result of the expression (t^{-6})^{-5}?

Back

t^{30}

Front

Solve for h: \sqrt{h} = 9

Back

h = 81

Front

Simplify the expression: (-3x^4y^5)^2

Back

9x^8y^{10}

Front

Is \sqrt{4} rational or irrational?

Back

Rational

Front

Is -10 rational or irrational?

Back

Rational

Front

What is the power rule for exponents?

Back

When multiplying like bases, add the exponents: a^m * a^n = a^{m+n}.

Front

What is the product of powers rule?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^{m*n}.

Front

What is the definition of a rational number?

Back

A rational number can be expressed as a fraction \frac{p}{q}, where p and q are integers and q ≠ 0.

Front

What is the definition of an irrational number?

Back

An irrational number cannot be expressed as a simple fraction; its decimal representation is non-repeating and non-terminating.

Front

What is the square of a negative number?

Back

The square of a negative number is positive: (-a)^2 = a^2.