12^87divided12^25
To divide two exponents with the same base, subtract the exponent in the denominator from the exponent in the numerator.
Therefore, 12^87 ÷ 12^25 = 12^(87-25) = 12^62.
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)0+32(8−270)
According to the zero power rule, any number (except zero) raised to the power of zero equals 1.
So, the expression 9⋅(−33)^0 + 32(8−270) can be simplified as:
9⋅1 + 32(8−270)
= 9 + 32(8−270)
= 9 + 32(-262)
= 9 - 8,384
= -8,375
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)0+32(8−27^0)
According to the zero power rule, any number (except zero) raised to the power of zero equals 1.
So, the expression 9⋅(−33)^0 + 32(8−27^0) can be simplified as:
9⋅1 + 32(8−1)
= 9 + 32(7)
= 9 + 224
= 233
To divide two numbers with the same base, you subtract the exponents.
In this case, we have:
\( \frac{12^{87}}{12^{25}} \)
To divide, we subtract the exponents:
\( 87 - 25 = 62 \)
So, \( 12^{87} \div 12^{25} = 12^{62} \)
To divide two numbers with the same base, you subtract the exponents. In this case, we have 12 raised to the power of 87 divided by 12 raised to the power of 25.
Step 1: Subtract the exponents: 87 - 25 = 62.
Step 2: Since both bases are the same (12), the quotient is equal to 12 raised to the power of 62.
Therefore, 12^87 divided by 12^25 is equal to 12^62.