Exponent Operations Hard

When a base is raised to the power of zero, such as 5⁰, the overall value of the expression is always...

• -1

• 0

• 1

• The value of the base

Answer explanation

When a number is raised to the power of zero, the value of the expression is 1.

Think of it as meaning we are multiplying by that base zero times, leaving us with the "invisible" 1.

Example:

$5^0$
$=1\cdot5^0$
$=1$
(multiplied by zero 5's)

Tags

CCSS.8.EE.A.1

When rewriting a power with a negative exponent, so that it no longer has a negative exponent...

• You must keep the exponent negative.

• You must write the reciprocal of the base.

• You must change the sign of the exponent.

• You must change the sign of the whole power term.

• You must switch the base with the exponent.

Answer explanation

When simplifying a power term with a negative exponent...

-You must write the reciprocal of the power

-You must change the sign of the exponent

You must NOT:

-...keep the exponent negative, because this would not be simplifying the expression.

-...change the sign of the whole power term, because this changes the base of the power term and will no longer be an equivalent expression.

-...switch the base with the exponent, because this changes the base and exponent of the power term and will no longer be an equivalent expression.

Tags

CCSS.8.EE.A.1

Below is an expression with a negative exponent. Select the equivalent expression that has a positive exponent, instead.

Tags

CCSS.8.EE.A.1

Below is an expression with a negative exponent. Select the equivalent expression that has a positive exponent, instead.

Tags

CCSS.8.EE.A.1

• A
• B
• C
• D

Tags

CCSS.HSA.APR.A.1

What is 52x52x52x52x52x52x52x52x52x52x52

• 52¹²

• 52¹¹

• 52¹⁰

• 52⁹

• I forgot how to do this

Tags

CCSS.6.EE.A.1

• Option 1

• Option 2

Tags

CCSS.6.EE.A.1

How might the teacher have said the expression if she wanted students to write Michael's expression?

• '6 plus 4 multiplied by 6'

• '6 plus 4 raised to the third power'

• '6 plus 4 multiplied by 3'

• '6 plus 4 squared'

Tags

CCSS.6.EE.A.1

Why is Corwin's answer to the expression 4^2 • 5 + 6 incorrect?

• He didn't follow the order of operations

• He didn't simplify the exponential expression first

• He used the wrong base

• He didn't show his work

Tags

CCSS.6.EE.A.1

Which expression is equivalent to the expression for all values of q where the expression is defined?

• q²⁷

• 1/q²⁷

• q³

• 1/q³

Tags

CCSS.8.EE.A.1