Question

Simplify to an equivalent exponential expression. Use 2 as the base.

Answer 1

Answer:

The equivalent exponential expression using 2 as

a base will be:  

• $2^4\cdot \:\:2^5=2^9$

Step-by-step explanation:

Given the expression

$2^4\cdot \:2^5$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

so the expression becomes

$2^4\cdot \:2^5=2^{4+5}$

            $=2^9$

Therefore, the equivalent exponential expression using 2 as

a base will be:  

• $2^4\cdot \:\:2^5=2^9$