Chapter 4

Write each fraction as an expression using a negative exponent other than \(-1\) $$\frac{1}{8}$$

Find the GCF of each set of monomials. $$2 y, 10 y^{2}$$

Factor each monomial. $$4 c^{2}$$

Evaluate each expression. $$6^{3}$$

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{12 c}{15 d}$$

Express each number in standard form. $$4.24 \times 10^{2}$$

Find each product or quotient. Express using exponents. $$\frac{a^{10}}{a^{6}}$$

A unit of measure called a micron equals 0.001 millimeter. Write this number using a negative exponent.

Find the GCF of each set of monomials. $$14 n, 42 n^{3}$$

Factor each monomial. $$5 a^{2} b$$

Evaluate each expression. $$2 \cdot 5^{2}$$

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{24}{5 k}$$

Express each number in standard form. $$5.72 \times 10^{4}$$

In \(2005,\) an earthquake measuring 5 on the Richter scale struck the Philippines. Four days later, an earthquake of magnitude 3 struck Southern Alaska. How many times greater were the seismic waves in the Philippines than in Alaska?

Evaluate each expression if \(a=2\) and \(b=-3\) $$a^{-5}$$

Find the GCF of each set of monomials. $$36 a^{3} b, 56 a b^{2}$$

Factor each monomial. $$-70 x y z$$

Evaluate each expression if \(x=-2\) and \(y=4\) $$x^{3}-4$$

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{25 m n}{65 n}$$

Express each number in standard form. $$3.347 \times 10^{-1}$$

Find each product or quotient. Express using exponents. $$3^{3} \cdot 3^{2}$$

Evaluate each expression if \(a=2\) and \(b=-3\) $$b^{-3}$$

Factor each expression. $$3 n+9$$

Determine whether each number is prime or composite. $$21$$

Evaluate each expression if \(x=-2\) and \(y=4\) $$5(y-1)^{2}$$

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{3}{18}$$

Express each number in standard form. $$5.689 \times 10^{-3}$$

Find each product or quotient. Express using exponents. $$6 \cdot 6^{7}$$

Evaluate each expression if \(a=2\) and \(b=-3\) $$(a b)^{-2}$$

Factor each expression. $$t^{2}+4 t$$

Determine whether each number is prime or composite. $$33$$

Evaluate each expression if \(x=-2\) and \(y=4\) $$x^{2}+y^{2}$$

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{10}{12}$$

Express each number in standard form. $$1.5 \times 10^{-4}$$

Find each product or quotient. Express using exponents. $$9^{4} \cdot 9^{5}$$

Evaluate each expression if \(a=2\) and \(b=-3\) $$2^{b}$$

Factor each expression. $$15+20 x$$

Determine whether each number is prime or composite. $$23$$

SOUND Fireworks can easily reach a sound of 169 decibels, which can be dangerous if prolonged. Write this number using a power greater than 1 and a lesser base.

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{15}{21}$$

Express each number in standard form. $$9.01 \times 10^{-2}$$

Find each product or quotient. Express using exponents. $$10^{4} \cdot 10^{3}$$

Write each expression using a positive exponent. $$4^{-1}$$

Find the GCF of each set of numbers or monomials. $$12,8$$

Determine whether each number is prime or composite. $$70$$

Write each expression using exponents. $$4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4$$

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{8}{36}$$

Express each number in standard form. $$1.399 \times 10^{5}$$

Find each product or quotient. Express using exponents. $$d^{4} \cdot d^{6}$$

Write each expression using a positive exponent. $$5^{-3}$$