Question

Which expression is equivalent to 102 · 104?

Answer 1

`10^2\cdot 10^4=10^(6)`

Explanation:

Given : Expression
`10^2\cdot 10^4`

To find : Which expression is equivalent to given expression ?

Solution :

Expression
`10^2\cdot 10^4`

When multiplying two powers that have the same base, We add the exponents by product rule exponent,

`x^a* x^b=x^(a+b)`

So,
`10^2\cdot 10^4=10^(2+4)`

`10^2\cdot 10^4=10^(6)`

Therefore,
`10^2\cdot 10^4=10^(6)`