IB MYP3 Which quantity is bigger

In this video you will find steps how to compare two powers.
The laws of exponents are rules that help us simplify and manipulate expressions involving exponents. They make it easier to work with numbers and variables raised to powers. Here are some of the key laws of exponents:

Product of Powers: When multiplying two numbers with the same base, we add their exponents. For example, a^m * a^n = a^(m+n).

Quotient of Powers: When dividing two numbers with the same base, we subtract their exponents. For example, a^m / a^n = a^(m-n).

Power of a Power: To raise a number with an exponent to another exponent, we multiply the exponents. For example, (a^m)^n = a^(m*n).

Power of a Product: To raise a product to a power, we distribute the exponent to each term inside the parentheses. For example, (ab)^n = a^n * b^n.

Power of a Quotient: To raise a quotient to a power, we distribute the exponent to each term in the numerator and denominator. For example, (a/b)^n = a^n / b^n.

Negative Exponent: To find the negative exponent of a number, we take the reciprocal of the number raised to the positive exponent. For example, a^-n = 1 / a^n.

Zero Exponent: Any non-zero number raised to the power of zero is equal to 1. For example, a^0 = 1.

These laws allow us to manipulate and simplify expressions with exponents. By applying these rules, we can combine like terms, cancel out common factors, and solve equations involving exponents more easily.