Write a multiplication expression involving exponents with a product of 8^13
The multiplication expression involving exponents with a product of 8^13 is:
(2^3)^13
To write a multiplication expression involving exponents with a product of 8^13, you can use the exponent rule that states "a^m * a^n = a^(m+n)", where "a" is the base and "m" and "n" are exponents.
Step 1: Start with the base 8 and its exponent of 1.
8^1
Step 2: Use the exponent rule to multiply the base 8^1 by 8^12.
8^1 * 8^12 = 8^(1+12) = 8^13
Therefore, the multiplication expression involving exponents with a product of 8^13 is 8^1 * 8^12.
To write a multiplication expression involving exponents with a product of 8^13, you can multiply any two numbers whose exponent is equal to 13.
One possible expression is:
(2^3) * (2^10)
Explanation:
To get the product of 8^13, we need to break down 8 into its prime factors. 8 can be written as 2^3 since 2 * 2 * 2 = 8.
Now, we can write 8^13 as (2^3)^13, which simplifies to 2^(3*13) = 2^39.
To express 2^39 as a multiplication expression involving exponents, we can multiply two numbers with an exponent of 13. One possible way is to split 2^39 as (2^3) * (2^36).
Therefore, a multiplication expression involving exponents with a product of 8^13 is:
(2^3) * (2^10)