Exponents GRE

1^2 =

1

2^2=

4

3^2=

9

4^2=

16

5^2=

25

6^2=

36

7^2=

49

8^2=

64

9^2=

81

10^2=

100

11^2=

121

12^2=

144

13^2=

169

14^2=

196

15^2=

225

2^3=

8

3^3=

27

4^3=

64 (3)

5^3=

125

2^6=

64 (6)

2^10=

1024

Anything^0

One

Anything^1

Itself

(-3)²

(+9)

-3²

(-9)

Sign after this is done:
(-5)^4(-7)^3(-2)^2(-11)^6(-3)^7

+

Sign after this is done:
(-5)^4(-7)^3(-2)^2(-11)^6(-3)^8

-

(x³)(x⁴)

(x⁷)

(x³)⁴

(x¹²)

2⁷/2¹²

(2^-5)

1/(2^-1)

2¹

x^2/3
3=?

root

x^2/3
2=?

exponent

is x⁹>x⁴?

No, because if x is a decimal then the bigger exponent makes it smaller

4⁷5⁷= 20⁷

Yes, because the numbers are multiplied together AND have the same bases

4⁷5⁶= 20¹³

No, the bases dont multiply together if they dont have the same exponent

can you cancel the base to find y:
x⁷=x^y

No, because the base can be -1, 0, 1

can you cancel the base to find y:
x⁷=x^y
x >1 (OR x is a prime number)

Yes, because x cannot be -1, 0, 1

5^x+2=?

(5^x)(5²)

2⁸+2⁷+2⁶=

2⁶(7)

6^3 =

216