Reviewed by Yaren Fadiloglulari
What is x squared times x squared?
Answer: x squared times x squared is x to the fourth
Multiplying powers with the same base is a basic concept in algebra. When you see an expression like x squared times x squared, you use the rule for exponents that tells you how to combine them. This helps simplify algebraic expressions and prepares you for more advanced polynomial operations.
Methods
Math Tutor Explanation Using the Laws of Exponents
When multiplying like bases, you add their exponents. In this case, both factors are x^2, so you add the exponents 2 + 2.
Step 1: Step 1: Identify the bases and their exponents: x^2 and x^2
Step 2: Step 2: Add the exponents: 2 + 2 = 4
Math Tutor Explanation Using Expanded Form
You can expand each squared term and then multiply all the x’s together.
Step 1: Step 1: Write x squared as x * x, so you have (x * x) * (x * x)
Step 2: Step 2: Count and multiply all the x’s: x * x * x * x = x^4
Step 1:
Step 2:
Math Tutor suggests: Practice Exponents and Powers
Continue enhancing your understanding of exponents and powers with these related questions involving powers and algebraic manipulation.
FAQ on Multiplying Exponents with the Same Base
What do you do when multiplying two exponents with the same base?
You add the exponents together and keep the base the same.
What is x to the third times x squared?
It is x to the fifth (x^5).
Does this rule work for numbers as well?
Yes, as long as the base is the same, the rule applies.
What if the bases are different?
You cannot combine the exponents; you must leave them as separate terms.
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