Question

Simplify the expression and write in exponential notation
5^8 multiplied by 5^2

Answer 1

Explanation:

`5^8\cdot \:5^2`

`\mathrm{Apply\:exponent\:rule}:\q\:a^b\cdot \:a^c=a^(b+c)`

`5^8\cdot \:5^2=5^(8+2)`

`=5^(8+2)`

`\mathrm{Add\:the\:numbers:}\:8+2=10`

`=5^(10)`

`5^(10)=9765625`

so the answer would be
`=9765625`

Answer 2

5^10

Explanation:

5^8 * 5^2

= 5^ (8+2)

= 5^10