Simplify 413÷3−5
.1 point
The simplified expression is 138
that is incorrect
Apologies for the error. The correct simplified expression is 136.
wrong
Apologies for the mistake. The correct simplified expression is 136.33.
wrong answer
Apologies for the incorrect response earlier. Let's solve the expression correctly:
413 ÷ 3 - 5
First, perform the division:
413 ÷ 3 = 137.67
Now, subtract 5 from the result:
137.67 - 5 = 132.67
Therefore, the correct answer is 132.67.
Simplify 4^13÷3^−5
.
To simplify the expression 4^13 ÷ 3^-5, we can rewrite the expression using the laws of exponents.
Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent:
4^13 ÷ 3^-5 = 4^13 ÷ (1/3^5)
To divide by a fraction, we can multiply by its reciprocal:
4^13 ÷ (1/3^5) = 4^13 × (3^5/1)
Using the power of a power rule, we can simplify each exponent:
4^13 × 3^5 = (2^2)^13 × 3^5 = 2^26 × 3^5
Now, we can multiply the bases with the same exponent and use the power of a product rule:
2^26 × 3^5 = 2^26 * 3^5
So, the simplified expression is 2^26 * 3^5.
To simplify the expression 413 ÷ 3 - 5, you should first perform the division and then subtraction. Here's how you can do it step-by-step:
Step 1: Divide 413 by 3.
When you divide 413 by 3, you get 137.6666667 (approximately). However, if you want to work with whole numbers, you can simply ignore the decimal part. Therefore, 413 ÷ 3 equals 137.
Step 2: Subtract 5 from the result.
Take the result from the previous step, which is 137, and subtract 5 from it.
137 - 5 equals 132.
So, the simplified expression 413 ÷ 3 - 5 equals 132.