Question 1

Which expression is equivalent to 5^10 * 5^5?
5^2
5^5
5^15
5^50

Question 2

The answer would be 5^15

Question 3

$\huge\text{Hey there!}$

$\huge\textbf{Question reads....}$

$\large\textbf{Which expression is equivalent to }\rm{\bf 5^(10) * 5^5}\large\textbf{ ?}$

$\huge\textbf{Equation:}$

$\mathbf{5^(10)*5^5}$

$\huge\textbf{Solving for the equation:}$

$\mathbf{5^(10)*5^5}$

$\huge\textbf{Simplifying the exponents:}$

$\mathbf{5^(10)}\\\\\mathbf{= 5*5*5*5*5*5*5*5*5*5}\\\\\mathbf{= 25*25*25*25*25}\\\\\mathbf{= 625 * 625 * 25}\\\\\mathbf{= 390,625 * 25}\\\\\mathbf{= 9,765,625}$

$\mathbf{5^5}\\\\\mathbf{= 5*5*5*5*5}\\\\\mathbf{= 25*25*5}\\\\\mathbf{= 625*5}\\\\\mathbf{= 3,125}$

$\huge\textbf{Temporary equation: }$

$\mathbf{9,765,625 * 3,125}$

$\huge\textbf{Simplify it:}$

$\mathbf{= 30,517,578,125}$

$\huge\textbf{Now, let's do process of elimination}\\\\\huge\textbf{to see which one answers the overall}\\\\\huge\textbf{question:}$

$\huge\text{Option A.}\\\\\\\mathsf{5^2}\\\\\mathsf{= 5* 5}\\\\\mathsf{= 25}\\\\\huge\textsf{Option A. is incorrect because it isn't}\\\huge\textsf{equivalent to your given equation.}$

$\huge\text{Option B.}\\\\\\\mathsf{5^5}\\\\\mathsf{= 5* 5*5 *5*5}\\\\\mathsf{= 25*25*5}\\\\\mathsf{= 625*5}\\\\\mathsf{= 3,125}\\\\\huge\textsf{Option B. is incorrect because it isn't}\\\huge\textsf{equivalent to your given equation.}$

$\huge\text{Option C.}\\\\\mathsf{5^(15)}\\\\\mathsf{= 30,517,578,125}\\\\\huge\textsf{Option C. could possibly be your answer.}$

$\huge\text{Option D.}\\\\\mathbf{5^(50)}\\\\\large\textsf{Since, }\mathsf{5^(50)}\large\textsf{ is too big to count we will say the approximation is:}\\\large\textsf{8.8817841970013e + 34 (We couldn't put the exact number because}\\\large\textsf{it is too big so we had to label it as that estimation)}\\\\\\\huge\textsf{Anyway, Option D. is not your answer.}$