Question

Eli claims that the product of 6 to the power of 5 and 5 to the power of -3 is 6 to the power of 2. Which explains whether Eli is correct? Eli is correct. He added5+(-3) to find the exponent of 2. Eli is incorrect. He added the exponents instead of subtracting them. Eli is incorrect. He subtracted the exponents instead of adding them. Eli is incorrect. He added the exponents even though the bases are not the same.

Answer 1

Answer:

Eli is incorrect. He added the exponents even though the bases are not the same

Step-by-step explanation:

we know that

$6^{5}*5^{-3}=\frac{6^{5}}{5^{3}}$

Eli's equation

$6^{5}*5^{-3}=6^{2}$ ------> is not true

This equation is not correct  because he added the exponents even though the bases are not the same

Answer 2

Eli's claim is incorrect because he added the exponents even though the bases are not the same.

To be able to solve this question, we need to understand the concept of indices.

What is indices?

Indices in mathematics is the power or exponent to which a particular term is being raised.

From the given parameter, Eli has the claim that:

$\mathbf{ 6^5 \times 5^{-3} = 6^2}$

From the left hand side:

$\mathbf{ 6^5 \times \dfrac{1}{5^3}}= 6^2}$

$\mathbf{ \dfrac{6^5}{5^3}}\neq 6^2}$

Therefore, from the above calculation, we can infer that Eli's claim is incorrect because he added the exponents even though the bases are not the same.

Learn more about indices here:

https://brainly.com/question/10339517