Product rule of exponents use the product rule of exponents to simplify the expression 2 4 minus 22
To simplify the expression 2^4 - 2^2 using the product rule of exponents, we need to express both terms with the same base.
The product rule of exponents states that when you subtract two exponential terms with the same base, you divide their exponents.
So, we have 2^4 - 2^2, which can be rewritten as (2^4)/(2^2).
Following the product rule of exponents, the division of two exponential terms with the same base results in subtracting their exponents: 2^(4-2).
Simplifying further, 4-2 = 2, so we have 2^2 remaining.
Therefore, 2^4 - 2^2 simplifies to 2^2, which equals 4.
To simplify the expression 2^4 - 2^2 using the product rule of exponents, you can break it down into two steps:
Step 1: Simplify each term separately using the exponent rule.
2^4 = 2 x 2 x 2 x 2 = 16
2^2 = 2 x 2 = 4
Step 2: Subtract the simplified terms.
16 - 4 = 12
Therefore, 2^4 - 2^2 simplifies to 12.
To simplify the expression using the product rule of exponents, we need to apply the rule which states that when multiplying two numbers with the same base, you add their exponents.
In the expression you provided, we have 2^4 - 2^2.
To simplify this, we first evaluate the exponents separately:
2^4 = 2 * 2 * 2 * 2 = 16
2^2 = 2 * 2 = 4
Now, we can substitute these values back into the original expression:
16 - 4
And simplify the subtraction:
16 - 4 = 12
Therefore, the simplified expression is 12.