what is 4 times 10 ^-2 plus 1.3^10-1
To solve this expression, let's break it down step by step:
4 times 10^-2 can be written as 4 * (1/100) = 4/100 = 0.04
1.3^(10-1) can be simplified as 1.3^9
Using a calculator, we can find that 1.3^9 is approximately equal to 23.5162959
Therefore, the expression becomes:
0.04 + 23.5162959 = 23.5562959
So, 4 times 10^-2 plus 1.3^10-1 is approximately equal to 23.5562959.
To solve this expression step-by-step, let's break it down:
First, let's calculate 4 times 10^-2:
4 * 10^-2 = 4 * 0.01 = 0.04
Next, let's calculate 1.3^10-1:
10-1 = 9
1.3^9 ≈ 6.561
Finally, let's add the two results together:
0.04 + 6.561 ≈ 6.601
Therefore, the answer is approximately 6.601.
To solve this problem, you need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Let's break down the problem step by step:
Step 1: Evaluate 4 times 10^-2
To multiply 4 by 10^-2, you need to multiply the whole number (4) by the decimal (0.01, which is equivalent to 10^-2). The result is:
4 * 0.01 = 0.04
Step 2: Evaluate 1.3^10-1
To simplify this expression, you need to follow the exponent rules. Since there is no parenthesis, you can evaluate the exponent first (10-1 = 9). Then, raise 1.3 to the power of 9. The result is:
1.3^9 ≈ 20.13 (approximately)
Step 3: Add the results from Step 1 and Step 2
Now, you can add the two values:
0.04 + 20.13 ≈ 20.17 (approximately)
Therefore, the result of 4 times 10^-2 plus 1.3^10-1 is approximately 20.17.