BASE a
ACTIVE
x
EXP m
TAP
2
EXP n
TAP
3
CALCULATOR
PAGE 1/5
ACTIVE BOX:
A
EXPRESSION
x^2 × x^3
INDEX LAWS CALCULATOR
Page 1 now keeps the keypad on the left and all mode/input controls on the right.
Use NEXT to move to the result and working page, then continue to the extra revision and SEO pages.
SIMPLIFIED
READY
x^5
WORKING
—
—
—
—
—
RESULT PAGE
This page holds the simplified answer and step-by-step working so Page 1 can stay focused on the calculator layout.
Use the same values from Page 1 and move back and forward with the internal buttons below.
PAGE 2/5
INDEX LAWS RULES
a^m × a^n = a^(m+n)
a^m ÷ a^n = a^(m−n)
(a^m)^n = a^(m×n)
These laws work when the base stays the same throughout the expression.
HOW TO USE THIS TOOL
Choose the law on Page 1, tap the base or exponent box you want to edit, then use the keypad on the left.
Press ENTER and move to Page 2 to see the simplified result and the working.
GCSE EXAMPLES
x^2 × x^5 = x^7
a^9 ÷ a^4 = a^5
(y^3)^4 = y^12
Add exponents when multiplying, subtract when dividing, multiply exponents when a power is raised to another power.
WHAT THIS CALCULATOR HELPS WITH
GCSE maths revision for powers and indices.
Checking algebra homework quickly.
Seeing a clean method instead of only the final answer.
PAGE 3/5
COMMON MISTAKES
Do not add the bases when multiplying powers with the same base. You add the exponents.
Do not divide the exponents for a^m ÷ a^n. You subtract them.
Do not multiply the base in (a^m)^n. You multiply the exponents.
If the base changes, these simple index laws do not apply in the same way.
EXAM TIP
Write the rule first, substitute the exponents, then show the simplified answer. That structure matches the working shown on Page 2 and supports GCSE method marks.
REVISION NOTES
Indices are also called powers or exponents.
A base is the repeated factor, such as the x in x^7.
An exponent tells you how many times the base is used as a factor.
Understanding index laws helps with algebra, standard form, surds and scientific notation.
WHEN THIS PAGE IS USEFUL
Checking a powers and indices answer.
Practising GCSE index laws questions quickly.
Revising the difference between multiply, divide and power-of-a-power questions.
PAGE 4/5
RELATED GCSE MATHS TOOLS
Use these linked Teletext-Tools pages to continue revision across powers, factors and number skills.
WHY THIS PAGE EXISTS
Page 1 now stays clean and usable, with the keypad isolated on the left and the input controls on the right.
The answer and working sit on Page 2, while these extra pages add worthwhile revision support and stronger search value without crowding the calculator.
SEARCH TOPICS COVERED
Index laws calculator.
Powers and indices calculator.
GCSE index laws revision.
Exponent rules explained with examples.
Multiply divide and simplify indices.
LOOP BACK TO PAGE 1
Use NEXT below to return to the calculator page and keep working.
The looped navigation is kept visible above the footer on desktop, tablets, iPhone Safari and Android Chrome.
PAGE 5/5
ACTIVE BOX:
A
BASE a
ACTIVE
x
EXP m
TAP
2
EXP n
TAP
3
EXPRESSION
x^2 × x^3
CALCULATOR
PAGE 1/5
SIMPLIFIED
READY
x^5
WORKING
—
—
—
—
—
RESULT PAGE
Page 2 holds the answer and the step-by-step method so the first page can stay focused on inputs and calculator use.
PAGE 2/5
INDEX LAWS RULES
a^m × a^n = a^(m+n)
a^m ÷ a^n = a^(m−n)
(a^m)^n = a^(m×n)
HOW TO USE
Choose the law, enter the base and exponents, then press ENTER and move to Page 2 for the answer and working.
PAGE 3/5
WORKED EXAMPLES
x^2 × x^5 = x^7
a^9 ÷ a^4 = a^5
(y^3)^4 = y^12
COMMON MISTAKES
Add exponents for multiply, subtract for divide, and multiply exponents for a power of a power. Keep the base the same.
PAGE 4/5
RELATED TOOLS
TOPICS COVERED
Index laws calculator, powers and indices revision, exponent rules, GCSE maths indices practice.
Use NEXT below to loop back to Page 1.
PAGE 5/5