Simple Exponents

Help Questions

Algebra II › Simple Exponents

Questions 1 - 10

1

Simplify .

Explanation

To solve this expression, remove the outer exponent and expand the terms.

$(x^2y^3)^3=x^2\cdot x^2 \cdot x^2 \cdot y^3 \cdot y^3 \cdot y^3$

By exponential rules, add all the powers when multiplying like terms.

The answer is:

2

Expand

Explanation

When expanding exponents, we repeat the base by the exponential value.

3

Expand:

Explanation

To expand the exponent, we multiply the base by whatever the exponent is.

4

Expand

Explanation

To expand the exponent, we multiply the base by the power it is being raised to.

5

Expand:

Explanation

When we expand exponents, we simply repeat the base by the exponential value.

Therefore:

6

Expand

Explanation

When expanding exponents, we repeat the base by the exponential value.

7

Simplify:

Explanation

A number raised by a power is multiplied by itself that number of times.

Rewrite the expression.

$-2^6+2^3 = -(2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2)+(2\cdot 2\cdot 2)$

Simplify the terms.

The answer is:

8

Expand

Explanation

To expand the exponent, we multiply the base by the power it is being raised to.

9

Expand:

Explanation

To expand the exponent, we multiply the base by whatever the exponent is. Because there is a negative sign present, we need to apply the exponent first and then add the negative sign.

10

Expand:

Explanation

When we expand exponents, we simply repeat the base by the exponential value.

Therefore:

Page 1 of 11

Return to subject