Question

simplify and write the answer in the exponential form

1) 2 cube into 2 square into 5 raise to the power 5 ​

Answer 1

Answer:

• 2^3 x 2^2 x 5^5

= 2 x 2 x 2 x 2 x 2 x 5 x 5

= 800

Answer 2

The simplified exponential form to the given expression is $2^3\times 2^2\times 5^5=10^5$

Step-by-step explanation:

• Given that  2 cube into 2 square into 5 raise to the power 5.
• It can be written as
• $2^3\times 2^2\times 5^5$
• $=2^{3+2}\times 5^5$ ( by using the property $a^m.a^n=a^{m+n}$ )
• $=2^5\times 5^5$
• $=(2\times 2\times 2\times 2\times 2)\times (5\times 5\times 5\times 5\times 5)$
• $=32\times 3125$
• $=100000$
• $=10^5$
• Therefore $2^3\times 2^2\times 5^5=10^5$

The simplified exponential form to the given expression is $2^3\times 2^2\times 5^5=10^5$