Represent the following sentence as an algebraic expression, where "a number" is the letter \( x \). A number raised to the eighth power.
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The Deep Dive
To represent "a number raised to the eighth power" as an algebraic expression, you simply take your variable \( x \) and raise it to the power of eight. This gives you the expression \( x^8 \). It's as easy as pie—well, maybe not as delicious, but definitely just as straightforward! Now, if you ever find yourself pondering the wonders of exponents, remember they can really make your math problems pop! Exponents tell you how many times to multiply a number by itself. So, in this case, \( x^8 \) means you multiply \( x \) by itself eight times. Math can be fun, right?
