Can someone check my work please?
Write using positive exponents, and simplify if possible.
1. (–3x)^–2
answer: 1/9x^2
2. Multiply. Write the answer in scientific notation.
To simplify expressions with negative exponents, you can apply the rule, which states that any term raised to a negative exponent can be moved to the denominator with a positive exponent.
1. For the expression (–3x)^–2, you can rewrite it as 1 / (–3x)^2. Next, you can square the term inside the parentheses to get (–3x)^2 = 9x^2.
Therefore, the simplified expression becomes 1 / 9x^2. This means that the original expression (–3x)^–2 is equivalent to 1/9x^2.
2. To multiply numbers in scientific notation, you need to multiply the coefficients and add the exponents.
For example, let's say you have 5 x 10^3 multiplied by 4 x 10^2.
First, you multiply the coefficients: 5 x 4 = 20.
Then, you add the exponents: 10^3 x 10^2 = 10^(3+2) = 10^5.
So the final answer in scientific notation would be 20 x 10^5.