Question

Whenever you multiply 2 or more terms with the same base, you can add the exponents. Whenever you divide 2 or more terms with the same base, you can subtract the exponents. Whenever you have an exponent expression that is raised to a power, you can multiply the exponent and power. Using the basic exponent rules above, simplify each expression.

Answer 1

The question involves the laws of exponents for simplification of mathematical expressions, which include adding exponents when multiplying terms with the same base, subtracting exponents when dividing, and multiplying exponents when raising a power to another power.

Step-by-step explanation:

The question asked involves understanding and applying the laws of exponents. These laws are critical when it comes to simplifying mathematical expressions that involve powers of the same or different bases. Here are the basic exponent rules:

• When multiplying terms with the same base, add the exponents.
• When dividing terms with the same base, subtract the exponents.
• When raising an exponent to another power, multiply the two exponents together.

For example, let's simplify the expression (53)4:

(53)4 = 53*4 = 512

Another example for multiplying terms with exponents is 28 × 25:

28 × 25 = 28+5 = 213

Dividing terms with exponents example 106 / 103:

106 / 103 = 106-3 = 103