What would 64x6^4 equal in simplest form?
Please show work.
64 x 6^4
= 2^6 * 2^4 * 3^4
= 2^10 * 3^4
= 82944
To simplify the expression 64x6^4, we need to follow the order of operations, which is known as PEMDAS (Parentheses, Exponents, Multiplication and Division [from left to right], and Addition and Subtraction [from left to right]).
Let's break down the expression step by step:
First, we deal with the exponent. 6^4 means 6 raised to the power of 4. To calculate this, we multiply 6 by itself four times: 6 * 6 * 6 * 6 = 1,296.
Next, we multiply the result of the exponent (1,296) by 64: 1,296 * 64 = 83,184.
Therefore, 64x6^4 is equal to 83,184 in its simplest form.