How to subtract exponents

Practice Questions

ISEE Upper Level Mathematics Achievement › How to subtract exponents

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1

Define as follows:

$f(x) = x^{6} - x^{5}$

Evaluate .

2

Simplify the expresseion:

$x^{8} - x^{6}+ x^{2}$

3

Subtract and simplify:

$\left ( 11 x^{2}- 8x-7 \right )- \left (-7 x^{2}-5x+19\right )$

4

Define a function $g(x)=\left | x^{5}-x^{3}\right |$ .

Evaluate

5

Define $f(x)= x^{6} + x^{3}$ and $g(x) = x^{6}-x^{3}$ .

Evaluate $\left (\frac{f}{g} \right ) (-1)$ .

6

Define a function as follows:

$g(x)=\left | x^{5}-x^{2}\right |$

Evaluate .

7

Define an operation $\Upsilon$ as follows:

For all real numbers ,

$a \Upsilon b = a^{4} - b^{3}$ .

Evaluate: $0.2; \Upsilon; 0.1$ .

8

Subtract and simplify:

$\left ( 4x^{2}+ 1.2x-7 \right )- \left ( 2x^{2}-3.8x+9\right )$

9

Define an operation $\Upsilon$ as follows:

For all real numbers ,

$a \Upsilon b = a^{4} - b^{3}$ .

Evaluate: $\frac{1}{2} \Upsilon \frac{1}{4}$ .

10

Define as follows:

$f(x) = x^{5} - x^{3}$

Evaluate .

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