Simplify \(\left(-3x^2\right)\left(5x^4\right)\) using the properties of exponents.

Simplify \(\left(-2x^2\right)^3\left(4x^5\right)\) using the properties of exponents.

Simplify \(\left(x^2\right)^4\left(x^2y^3\right)^2\left(y^4\right)^3\) using the properties of exponents.

Write \(5^{-2}\) with positive exponents, then simplify.

Write \((-2)^{-3}\) with positive exponents, then simplify.

Write \(\left(\displaystyle\frac{3}{4}\right)^{-2}\) with positive exponents, then simplify.

Apply property 6 to each expression, and then simplify the result. All answers that contain exponents should contain positive exponents only.

Simplify:

1. \(\left(2x^2y^4\right)^0\)

2. \(\left(2x^2y^4\right)^1\)

Simplify \(\displaystyle\frac{\left(x^3\right)^{-2}\left(x^4\right)^5}{\left(x^{-2}\right)^7}\)

Simplify \(\displaystyle\frac{6a^5b^{-6}}{12a^3b^{-9}}\)

Simplify \(\displaystyle\frac{\left(4x^{-5}y^3\right)^2}{\left(x^4y^{-6}\right)^{-3}}\)

Write \(376,000\) in scientific notation.

Write \(4.52 \times 10^3\) in expanded form.

Simplify each expression, and write all answers in scientific notation.

1. \(\left(2 \times 10^8\right)\left(3 \times 10^{-3}\right)\)

2. \(\displaystyle\frac{4.8 \times 10^9}{2.4 \times 10^{-3}}\)

3. \(\displaystyle\frac{\left(6.8\times 10^5\right)\left(3.9 \times 10^{-7}\right)}{7.8 \times 10^{-4}}\)