Question

Simplify the expression 12^-3 * 12^10 * 12^0

Answer 1

Answer:

35831808

Step-by-step explanation:

Using the  rules of indices or exponents

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

a

m

×

a

n

=

a

m

+

n

a

a

∣

∣

−−−−−−−−−−−−−−−−−−−  

a

is called the

base

m and n are called the  

indices or exponents

As long as the bases are the same then we can simplify by adding the indices together.

⇒

12

−

3

×

12

10

×

12

0

=

12

−

3

+

10

+

0

=

12

7

Answer 2

12^-3 * 12^10 * 12^0

= 12^(-3 + 10 + 0)

= 12^7