Simplify the expression 12^-3 * 12^10 * 12^0
2 answers:
Answer:
35831808
Step-by-step explanation:
<em>Using the rules of indices or exponents
</em>
<em>∣
</em>
<em>∣
</em>
<em>∣
</em>
<em>∣
</em>
<em>¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
</em>
<em>a
</em>
<em>a
</em>
<em>a
</em>
<em>m
</em>
<em>×
</em>
<em>a
</em>
<em>n
</em>
<em>=
</em>
<em>a
</em>
<em>m
</em>
<em>+
</em>
<em>n
</em>
<em>a
</em>
<em>a
</em>
<em>∣
</em>
<em>∣
</em>
<em>−−−−−−−−−−−−−−−−−−− </em>
<em>a
</em>
<em> is called the
</em>
<em> base
</em>
<em>m and n are called the </em>
<em>indices or exponents
</em>
<em>As long as the bases are the same then we can simplify by adding the indices together.
</em>
<em>⇒
</em>
<em>12
</em>
<em>−
</em>
<em>3
</em>
<em>×
</em>
<em>12
</em>
<em>10
</em>
<em>×
</em>
<em>12
</em>
<em>0
</em>
<em>=
</em>
<em>12
</em>
<em>−
</em>
<em>3
</em>
<em>+
</em>
<em>10
</em>
<em>+
</em>
<em>0
</em>
<em>=
</em>
<em>12
</em>
<em>7</em>
12^-3 * 12^10 * 12^0
= 12^(-3 + 10 + 0)
= 12^7
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