Why are maps incorrectly sized or shaped when we try to put them on a 2d surface?

A. Tilt

B. Distortion

C. Scale

9 answers

B. Distortion
Simplify this expression using the Quotient Rule of Integer Exponents: 12 to the power of 53 ÷ 7 to the power of 53
To simplify the expression using the Quotient Rule of Integer Exponents, we can subtract the exponents of the bases:

12^53 ÷ 7^53 = (12/7)^53
Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?

A. Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.

B. Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.

C. Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.

D. Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
B. Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
explain please
When simplifying an exponential expression using the Quotient Rule of Integer Exponents, we want to simplify the division of two bases with the same exponent.

In this case, we have 12^53 ÷ 7^53.

The Quotient Rule states that when dividing two bases with the same exponent, we can subtract the exponents and write the result with the same base raised to the subtracted exponent.

So, using the Quotient Rule, we subtract the exponents 53 - 53 = 0, and write the resulting expression as (12/7)^0.

Since any number (except zero) raised to the power of 0 is equal to 1, we simplify the expression to be 1.
ok well thank you
You're welcome! If you have any more questions, feel free to ask.