Advanced Power & Exponent Calculator

With Step-by-Step Solutions for Grade 8+ Mathematics. Calculate powers, exponents, and scientific notation.

Multiply Powers with Same Base

Base:
^
×
Base:
^
Multiplication Result:
-
Power Multiplication Rule:
am × an = am+n
When multiplying powers with the same base, add the exponents
Step-by-Step Solution:
Enter powers to see solution steps

Divide Powers with Same Base

Base:
^
÷
Base:
^
Division Result:
-
Power Division Rule:
am ÷ an = am-n
When dividing powers with the same base, subtract the exponents
Step-by-Step Solution:
Enter powers to see solution steps

Power of a Power

Coeff:
Base:
^
^
Power of Power Result:
-
Power of a Power Rule:
(am)n = am×n
When taking a power of a power, multiply the exponents
Step-by-Step Solution:
Enter expression to see solution steps

Power of a Product

×
^
Power of Product Result:
-
Power of a Product Rule:
(ab)n = an × bn
When raising a product to a power, raise each factor to the power
Step-by-Step Solution:
Enter expression to see solution steps

Power of a Quotient

÷
^
Power of Quotient Result:
-
Power of a Quotient Rule:
(a/b)n = an ÷ bn
When raising a quotient to a power, raise both numerator and denominator to the power
Step-by-Step Solution:
Enter expression to see solution steps
Exponent Rules (Power Rules)
Product Rule: am × an = am+n
Quotient Rule: am ÷ an = am-n
Power of a Power: (am)n = am×n
Power of a Product: (ab)n = an × bn
Power of a Quotient: (a/b)n = an ÷ bn
Zero Exponent: a0 = 1 (for a ≠ 0)
Negative Exponent: a-n = 1/an
Fractional Exponent: a1/n = ⁿ√a
One Exponent: a1 = a
Scientific Notation: a × 10n where 1 ≤ |a| < 10