Multiplying exponents

Negative exponents rule

100

4^-2 =

1/16

200

3^-2=

1/9

300

B^-m

1/b^m 

400

98^-2

1/9604

500

(8/11)^-2

1/64/121 or 64/121

Product rule

100

17^{6 .} 17^{18 =}

17²⁴

200

21^{9 .} 21^{8 .} 21¹² = 21^{15 .} 21^{15 .} 21³

True or false 

False

300

6^{2 .}6¹⁷ = 6^{7 .} 6^{8 .} 6^{3 .}6¹

^{True or false}

True

400

8^{6 .} 8^{7 .} 8¹¹ =

8²⁴

500

X^{11 .} 3^{8 .}x^{5 .} 3² =

X¹⁶ 3¹⁰

Power rule

100

(5²)³ =

5⁶

200

(7³)¹¹

7³³

300

(13²)³

13⁶

400

(7^{3 .} 7⁵)²  =

7¹⁶

500

(18^{8 .} 18¹²)³ =

18⁶⁰

Quotient rule

100

9^{4 .} 9⁵ / 9⁸ =

9¹

200

4^3 . 4⁸ / 4⁶

4⁵

300

X^{9 .} X⁸ / x¹⁵ =

X²

400

Y^{8 .} Y⁶ / y^-3 =

Y¹⁷

500

M^{8 .} M³ / M^-2 =

M¹³

Random

100

4⁵ / 4² =

4³

200

8^-2 =

1/64

300

(9^{2 .} 9⁴)⁴

9³²

400

B^{34 .} B^{21 .} B¹⁰ = B^{54 .} B¹¹

^{True or false} 

True

500

(7^{5 .} 7⁹)⁴ =

                

7⁵⁶