Question Video: Simplifying Monomials with Zero Exponents Mathematics

Evaluate 7𝑥⁰ × 7𝑥⁰.

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Video Transcript

Evaluate seven 𝑥 to the power of zero multiplied by seven 𝑥 to the power of zero.

In order to answer this question, we need to recall one of our laws of indices or exponents. This states that 𝑎 to the power of zero is equal to one. Any number or letter raised to the power of zero is one. We can show this by raising five to the powers of three, two, one, and zero. Five to the power of three, or five cubed, is 125. Five squared is 25. And five to the power of one is five.

Every time we decrease the exponent by one, we divide the answer by five. As five divided by five is equal to one, five to the power of zero is also equal to one. In our question, seven 𝑥 to the power of zero is the same as seven multiplied by 𝑥 to the power of zero. As 𝑥 to the power of zero is equal to one, this is the same as seven multiplied by one. This gives us an answer of seven.

We need to multiply seven 𝑥 to the power of zero by itself. Seven multiplied by seven is 49. Therefore, our answer is 49.