Question

question 18 of 20
$2^3 \cdot 5^2 = 10^5$
select the correct response:
true
false

Explanation:

Step1: Calculate left - hand side

First, calculate the value of \(2^{3}\cdot5^{2}\). We know that \(2^{3}=2\times2\times2 = 8\) and \(5^{2}=5\times5 = 25\). Then \(2^{3}\cdot5^{2}=8\times25=200\).

Step2: Calculate right - hand side

Next, calculate the value of \(10^{5}\). According to the definition of exponents, \(10^{5}=10\times10\times10\times10\times10 = 100000\).

Step3: Compare the two results

Since \(200
eq100000\), the equation \(2^{3}\cdot5^{2}=10^{5}\) is not true.

Answer:

False