Introduction to Powers

Powers of Integers

5

This is the value of 2⁴

16

10

The result of squaring −3

9

15

This cube equals -(−2)³

8

20

This exponent produces 3⁰

1

25

This exponent gives 4³

64

Parentheses Matter

5

The value of (−7)³

-343

10

This expression equals (−2)⁴

16

15

The result of −9²

81

20

The result of 

-(−9)²

-81

25

The value of 

4−7³

-339

Evaluate by Substitution

5

if x=4: 

the value of x²−1

15

10

If x=−5: 

the value of x²+10

35

15

If x=−1: 

the value of 5x².

5

20

If x=5: 

the value of 3x−4.

11

25

If x=6: 

the value of x²-x

30

Multi‑Variable Substitution

5

If x=2,y=3: 

the value of x+y.

5

10

If x=5,y=2: 

the value of 2x−y

8

15

If x=−4,y=2: 

the value of xy².

-16

20

If x=7,y=−3: 

the value of x²−y².

40

25

If x=5,y=2: 

the value of x^y+y^x.

57

Powers Inside Expressions

5

Evaluate: 2x³−3x when x=1

-1

10

Evaluate: 2x³+1 when x=3

55

15

Evaluate: x²+2^x+1 when x=5

58

20

Evaluate: 5^y−x² when x=4, y=3.

109

25

Evaluate: 3x²y⁴ when x=2, y=-3.

972