M2 CSA REVIEW 1.4 & 1.5

Front

What is the simplified form of \( \frac{2x^{-18}}{y^4} \)?

Back

The simplified form is \( \frac{y^{12}}{8x^{18}} \).

Front

Rewrite \( x^{\frac{1}{2}} \) in radical form.

Back

The radical form is \( \sqrt{x} \).

Front

If the side length of a cube is represented by \( s \), what is the volume of the cube?

Back

The volume of the cube is \( s^3 \). For \( s = 6 \) cm, the volume is \( 216 \) cm³.

Front

What is the cube root of \( -216 \)?

Back

The cube root of \( -216 \) is \( -6 \).

Front

Simplify \( (-3)^3 \).

Back

The simplified form is \( -27 \).

Front

What is the value of \( \sqrt[3]{-8} \)?

Back

The value is \( -2 \).

Front

What is the simplified form of \( \frac{1}{(-3)^3} \)?

Back

The simplified form is \( \frac{1}{-27} \) or \( -\frac{1}{27} \).

Front

If \( s = 6 \) cm, what are the dimensions of the cube?

Back

The dimensions are \( 6 \) cm, \( 6 \) cm, \( 6 \) cm.

Front

What is the simplified form of \( \frac{2x^3}{y} \)?

Back

The simplified form is \( \frac{2x^3}{y} \) (no further simplification possible).

Front

Evaluate \( \sqrt{36} \).

Back

The value is \( 6 \).