Answer:
step one: product of powers
step 2:power of powers
step 3: quotient of powers
Step-by-step explanation:
The rule of exponents was applied in each step will be multiplication rule,division rule and inverse of exponent rule.
Arithmetic is a branch of mathematics that studies numbers and the many operations that may be applied to them. The four basic math operations are addition, subtraction, multiplication, and division.
The given expression is;
[tex]\frac{(2)^3(2)^4}{2^{10}}[/tex]
Step 1; Multiplication rule of exponents;
[tex]\frac{(2)^3(2)^4}{2^{10}} \\\\ \frac{2^{3+4}}{2^{10}} \\\\\frac{2^7}{2^{10}}[/tex]
Step 2;Division rule of exponents;
[tex]\frac{2^7}{2{10}} \\\\ (2)^{7-10}\\\\ (2)^{-3}[/tex]
Step 2;Inverse rule of exponents;
[tex](2)^{-3}\\\\ \frac{1}{2^3} \\\\\frac{1}{8}[/tex]
Hence, the rule of exponents was applied in each step will be multiplication rule,division rule and inverse of exponent rule.
To learn more about the arithmetic operations, refer:
brainly.com/question/20595275
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