Miscellaneous Examples Using the Laws of Exponents The law of exponents allows us to simplify expressions with the same base by combining like terms. This me...
The law of exponents allows us to simplify expressions with the same base by combining like terms. This means combining fractions with the same denominator or combining like exponents of the same base.
Examples:
Important points to remember:
When combining fractions with the same denominator, add their numerators and keep the denominator the same.
When combining like exponents of the same base, add them together.
The laws of exponents apply to any real numbers, not just positive real numbers.
Combining like terms involves factoring the numbers under the exponent and combining the exponents.
Always simplify the resulting expression before combining like terms