Question

write me a paragraph and explain my work
apply the product rule of integer exponents to find the numerical equivalent of 12 to the power of -5 times 12 to the pwoer of 7

Answer 1

To find the numerical value of the expression 12 to the power of -5 times 12 to the power of 7, we can apply the product rule of integer exponents. According to this rule, when multiplying two numbers with the same base, we add their exponents. In this case, the base is 12. So, by adding the exponents -5 and 7, we get a total exponent of 2. Therefore, 12 to the power of -5 times 12 to the power of 7 simplifies to 12 raised to the power of 2, which is equal to 144.